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Seminar information archive
Seminar information archive ～04/18｜Today's seminar 04/19 | Future seminars 04/20～
2020/05/28
Operator Algebra Seminars
16:45-18:15 Online
Yosuke Kubota (Shinshu Univ.)
Index theorem of lattice Wilson-Dirac operators and almost-commuting matrices (English)
[ Reference URL ]
https://www.ms.u-tokyo.ac.jp/~yasuyuki/tokyo-seminar.htm
Yosuke Kubota (Shinshu Univ.)
Index theorem of lattice Wilson-Dirac operators and almost-commuting matrices (English)
[ Reference URL ]
https://www.ms.u-tokyo.ac.jp/~yasuyuki/tokyo-seminar.htm
2020/05/27
Number Theory Seminar
17:30-18:30 Online
Kenichi Bannai (Keio University/RIKEN)
Shintani generating class and the p-adic polylogarithm for totally real fields (ENGLISH)
https://www.ms.u-tokyo.ac.jp/~t-saito/todai_IHES.html
Kenichi Bannai (Keio University/RIKEN)
Shintani generating class and the p-adic polylogarithm for totally real fields (ENGLISH)
[ Abstract ]
In this talk, we will give a new interpretation of Shintani's work concerning the generating function of nonpositive values of Hecke $L$-functions for totally real fields. In particular, we will construct a canonical class, which we call the Shintani generating class, in the cohomology of a certain quotient stack of an infinite direct sum of algebraic tori associated with a fixed totally real field. Using our observation that cohomology classes, not functions, play an important role in the higher dimensional case, we proceed to newly define the p-adic polylogarithm function in this case, and investigate its relation to the special value of p-adic Hecke $L$-functions. Some observations concerning the quotient stack will also be discussed. This is a joint work with Kei Hagihara, Kazuki Yamada, and Shuji Yamamoto.
[ Reference URL ]In this talk, we will give a new interpretation of Shintani's work concerning the generating function of nonpositive values of Hecke $L$-functions for totally real fields. In particular, we will construct a canonical class, which we call the Shintani generating class, in the cohomology of a certain quotient stack of an infinite direct sum of algebraic tori associated with a fixed totally real field. Using our observation that cohomology classes, not functions, play an important role in the higher dimensional case, we proceed to newly define the p-adic polylogarithm function in this case, and investigate its relation to the special value of p-adic Hecke $L$-functions. Some observations concerning the quotient stack will also be discussed. This is a joint work with Kei Hagihara, Kazuki Yamada, and Shuji Yamamoto.
https://www.ms.u-tokyo.ac.jp/~t-saito/todai_IHES.html
2020/05/25
Seminar on Geometric Complex Analysis
10:30-12:00 Online
MARUGAME Taiji (Riken AIP - Osaka University)
Characteristic forms of Cheng-Yau metric and CR invariants
[ Reference URL ]
https://forms.gle/vSFPoVR6ugrkTGhX7
MARUGAME Taiji (Riken AIP - Osaka University)
Characteristic forms of Cheng-Yau metric and CR invariants
[ Reference URL ]
https://forms.gle/vSFPoVR6ugrkTGhX7
2020/05/21
Information Mathematics Seminar
16:50-18:35 Online
Hiroshi Fujiwara (BroadBand Tower, Inc.)
From the birth of the computer to further speedup of the calculation speed
(Japanese)
https://docs.google.com/forms/d/1d1RWvV8j1TzXg8eF93zMZeIzJeIvdq9zY8htO8w2St0/
Hiroshi Fujiwara (BroadBand Tower, Inc.)
From the birth of the computer to further speedup of the calculation speed
(Japanese)
[ Abstract ]
Explanation of the birth of computer and the further speedup of calculation speed
[ Reference URL ]Explanation of the birth of computer and the further speedup of calculation speed
https://docs.google.com/forms/d/1d1RWvV8j1TzXg8eF93zMZeIzJeIvdq9zY8htO8w2St0/
Operator Algebra Seminars
16:45-18:15 Online
Takuya Takeishi (Kyoto Institute of Technology)
Partition functions as $C^*$-dynamical invariants and actions of congruence monoids (English)
Takuya Takeishi (Kyoto Institute of Technology)
Partition functions as $C^*$-dynamical invariants and actions of congruence monoids (English)
2020/05/18
Seminar on Geometric Complex Analysis
10:30-12:00 Online
KASUYA Hisashi (Osaka University)
Higgs bundles and flat connections over compact Sasakian manifolds
https://forms.gle/vSFPoVR6ugrkTGhX7
KASUYA Hisashi (Osaka University)
Higgs bundles and flat connections over compact Sasakian manifolds
[ Abstract ]
It is known that on a compact Kähler manifold, there is a correspondence between semisimple flat vector bundles and polystable higgs bundles with vanishing Chern classes via harmonic metrics (Simpson-Corlette). The purpose of this talk is to give the Sasakian (odd dimensional analogue of Kähler geometry) version of this correspondence. We prove that on a compact Sasakian manifold, there is an correspondence between semisimple flat vector bundles and the polystable basic Higgs bundles with vanishing basic Chern classes. (Joint work with Indranil Biswas, arXiv:1905.06178)
[ Reference URL ]It is known that on a compact Kähler manifold, there is a correspondence between semisimple flat vector bundles and polystable higgs bundles with vanishing Chern classes via harmonic metrics (Simpson-Corlette). The purpose of this talk is to give the Sasakian (odd dimensional analogue of Kähler geometry) version of this correspondence. We prove that on a compact Sasakian manifold, there is an correspondence between semisimple flat vector bundles and the polystable basic Higgs bundles with vanishing basic Chern classes. (Joint work with Indranil Biswas, arXiv:1905.06178)
https://forms.gle/vSFPoVR6ugrkTGhX7
2020/05/14
Operator Algebra Seminars
16:45-18:15 Online
Yusuke Isono (RIMS, Kyoto Univ.)
Connes' bicentralizer problem for q-deformed Araki-Woods algebras (English)
[ Reference URL ]
https://www.ms.u-tokyo.ac.jp/~yasuyuki/tokyo-seminar.htm
Yusuke Isono (RIMS, Kyoto Univ.)
Connes' bicentralizer problem for q-deformed Araki-Woods algebras (English)
[ Reference URL ]
https://www.ms.u-tokyo.ac.jp/~yasuyuki/tokyo-seminar.htm
Information Mathematics Seminar
16:50-18:35 Online
Hiroshi Fujiwara (BroadBand Tower, Inc.)
The past, the present, the future of the AI that a practical use stage began (Japanese)
Hiroshi Fujiwara (BroadBand Tower, Inc.)
The past, the present, the future of the AI that a practical use stage began (Japanese)
[ Abstract ]
The explanation on the past, the present, the future of the AI that a practical use stage began
The explanation on the past, the present, the future of the AI that a practical use stage began
2020/05/13
Number Theory Seminar
17:30-18:30 Online
Yifeng Liu (Yale University)
On the Beilinson-Bloch-Kato conjecture for Rankin-Selberg motives (ENGLISH)
https://www.ms.u-tokyo.ac.jp/~t-saito/todai_IHES.html
Yifeng Liu (Yale University)
On the Beilinson-Bloch-Kato conjecture for Rankin-Selberg motives (ENGLISH)
[ Abstract ]
In this talk, we will explain the final outcome on the Beilinson-Bloch-Kato conjecture for motives coming from certain automorphic representations of GL(n) x GL(n+1), of our recent project with Yichao Tian, Liang Xiao, Wei Zhang, and Xinwen Zhu. In particular, we show that the nonvanishing of the central L-value of the motive implies the vanishing of the corresponding Bloch-Kato Selmer group. We will also explain the main ideas and ingredients of the proof.
[ Reference URL ]In this talk, we will explain the final outcome on the Beilinson-Bloch-Kato conjecture for motives coming from certain automorphic representations of GL(n) x GL(n+1), of our recent project with Yichao Tian, Liang Xiao, Wei Zhang, and Xinwen Zhu. In particular, we show that the nonvanishing of the central L-value of the motive implies the vanishing of the corresponding Bloch-Kato Selmer group. We will also explain the main ideas and ingredients of the proof.
https://www.ms.u-tokyo.ac.jp/~t-saito/todai_IHES.html
2020/05/07
Information Mathematics Seminar
16:50-18:35 Room #Zoom（詳細は講演概要に記載） (Graduate School of Math. Sci. Bldg.)
Hiroshi Fujiwara (BroadBand Tower, Inc.)
"Who are we? Where have we come from? Where are we?
Where will we go? What is the role of the mathematical science?"
～To establish of the new academic system by the basic theory regression
type approach and the social problem solving type approach～
(Japanese)
Hiroshi Fujiwara (BroadBand Tower, Inc.)
"Who are we? Where have we come from? Where are we?
Where will we go? What is the role of the mathematical science?"
～To establish of the new academic system by the basic theory regression
type approach and the social problem solving type approach～
(Japanese)
Operator Algebra Seminars
16:45-18:15 Online
Mayuko Yamashita (RIMS, Kyoto Univ.)
A new construction of deformation quantization for Lagrangian fiber bundles (English)
[ Reference URL ]
https://www.ms.u-tokyo.ac.jp/~yasuyuki/tokyo-seminar.htm
Mayuko Yamashita (RIMS, Kyoto Univ.)
A new construction of deformation quantization for Lagrangian fiber bundles (English)
[ Reference URL ]
https://www.ms.u-tokyo.ac.jp/~yasuyuki/tokyo-seminar.htm
2020/05/01
Seminar on Probability and Statistics
17:00-18:10 Room #φ (Graduate School of Math. Sci. Bldg.)
Xiao Fang (Chinese University of Hong Kong)
High order distributional approximations by Stein's method (ENGLISH)
https://docs.google.com/forms/d/e/1FAIpQLSeSVwYsjhyQQXzjt3ZpvRh9ZEO5qZXxxLxYDYOu301Mc89RCA/viewform
Xiao Fang (Chinese University of Hong Kong)
High order distributional approximations by Stein's method (ENGLISH)
[ Abstract ]
Stein's method is a powerful tool to proving distributional approximations with error bounds. In this talk, we present two recent developments of Stein's method for high order approximations. (1) Together with Li Luo and Qi-Man Shao, we consider skewness correction in normal approximation. We prove a refined Cram¥'er-type moderate deviation result for a class of statistics possessing a local structure. We discuss applications to k-runs, U-statistics and subgraph counts. (2) Together with Anton Braverman and Jim Dai, we derive and justify new diffusion approximations with state-dependent diffusion coefficients for stationary distributions of Markov chains. We discuss applications to the Erlang-C system, a hospital inpatient flow model and the auto-regressive model.
[ Reference URL ]Stein's method is a powerful tool to proving distributional approximations with error bounds. In this talk, we present two recent developments of Stein's method for high order approximations. (1) Together with Li Luo and Qi-Man Shao, we consider skewness correction in normal approximation. We prove a refined Cram¥'er-type moderate deviation result for a class of statistics possessing a local structure. We discuss applications to k-runs, U-statistics and subgraph counts. (2) Together with Anton Braverman and Jim Dai, we derive and justify new diffusion approximations with state-dependent diffusion coefficients for stationary distributions of Markov chains. We discuss applications to the Erlang-C system, a hospital inpatient flow model and the auto-regressive model.
https://docs.google.com/forms/d/e/1FAIpQLSeSVwYsjhyQQXzjt3ZpvRh9ZEO5qZXxxLxYDYOu301Mc89RCA/viewform
2020/04/30
Operator Algebra Seminars
16:45-18:15 Online
Felix Parraud (ENS Lyon)
Interpolation between random matrices and their free limit with the help of free stochastic processes (English)
[ Reference URL ]
https://www.ms.u-tokyo.ac.jp/~yasuyuki/tokyo-seminar.htm
Felix Parraud (ENS Lyon)
Interpolation between random matrices and their free limit with the help of free stochastic processes (English)
[ Reference URL ]
https://www.ms.u-tokyo.ac.jp/~yasuyuki/tokyo-seminar.htm
2020/04/23
Operator Algebra Seminars
16:45-18:15 Online
Michiya Mori (Univ. Tokyo)
Lattice isomorphisms between projection lattices of von Neumann algebras
[ Reference URL ]
https://www.ms.u-tokyo.ac.jp/~yasuyuki/tokyo-seminar.htm
Michiya Mori (Univ. Tokyo)
Lattice isomorphisms between projection lattices of von Neumann algebras
[ Reference URL ]
https://www.ms.u-tokyo.ac.jp/~yasuyuki/tokyo-seminar.htm
2020/04/22
Number Theory Seminar
17:30-18:30 Online
Arthur-César Le Bras (CNRS & Université Paris 13)
Prismatic Dieudonné theory (ENGLISH)
Arthur-César Le Bras (CNRS & Université Paris 13)
Prismatic Dieudonné theory (ENGLISH)
[ Abstract ]
I would like to explain a classification result for p-divisible groups, which unifies many of the existing results in the literature. The main tool is the theory of prisms and prismatic cohomology recently developed by Bhatt and Scholze. This is joint work with Johannes Anschütz.
I would like to explain a classification result for p-divisible groups, which unifies many of the existing results in the literature. The main tool is the theory of prisms and prismatic cohomology recently developed by Bhatt and Scholze. This is joint work with Johannes Anschütz.
2020/04/16
Seminar on Probability and Statistics
17:00-18:10 Room #φ (Graduate School of Math. Sci. Bldg.)
Masatoshi Goda (University of Tokyo)
Hawkes process and Edgeworth expansion with application to Maximum Likelihood Estimator (JAPANESE)
https://docs.google.com/forms/d/18MDagC71CtB7SJmW2s0tPIBW9YDUNWH5XH1uby2W6Xc/edit
Masatoshi Goda (University of Tokyo)
Hawkes process and Edgeworth expansion with application to Maximum Likelihood Estimator (JAPANESE)
[ Abstract ]
The Hawkes process is a point process with a self-exciting property. It has been used to model earthquakes, social media events, infections, etc. and is getting a lot of attention. However, as a real problem, there are often situations where we can not obtain data with sufficient observation time. In such cases, it is not appropriate to approximate the error distribution of an estimator by the normal distribution. We established the Edgeworth expansion for a functional of a geometric mixing process, and applied this scheme to a functional of the Hawkes process with an exponential kernel. Furthermore, we gave a more appropriate asymptotic distribution for the error of the Maximum Likelihood Estimator of the Hawks process, i.e. a higher-order asymptotic distribution than the normal distribution. Here, in addition to the details of these statements, we also present the simulation results.
[ Reference URL ]The Hawkes process is a point process with a self-exciting property. It has been used to model earthquakes, social media events, infections, etc. and is getting a lot of attention. However, as a real problem, there are often situations where we can not obtain data with sufficient observation time. In such cases, it is not appropriate to approximate the error distribution of an estimator by the normal distribution. We established the Edgeworth expansion for a functional of a geometric mixing process, and applied this scheme to a functional of the Hawkes process with an exponential kernel. Furthermore, we gave a more appropriate asymptotic distribution for the error of the Maximum Likelihood Estimator of the Hawks process, i.e. a higher-order asymptotic distribution than the normal distribution. Here, in addition to the details of these statements, we also present the simulation results.
https://docs.google.com/forms/d/18MDagC71CtB7SJmW2s0tPIBW9YDUNWH5XH1uby2W6Xc/edit
Operator Algebra Seminars
16:45-18:15 Online
Cyril Houdayer (Univ. Paris-Sud)
Structure theorem for unitary representations of irreducible lattices in product groups
[ Reference URL ]
https://www.ms.u-tokyo.ac.jp/~yasuyuki/tokyo-seminar.htm
Cyril Houdayer (Univ. Paris-Sud)
Structure theorem for unitary representations of irreducible lattices in product groups
[ Reference URL ]
https://www.ms.u-tokyo.ac.jp/~yasuyuki/tokyo-seminar.htm
2020/03/26
Colloquium
16:00-17:00 Room #117 (Graduate School of Math. Sci. Bldg.)
KOHNO Toshitake (Graduate School of Mathematical Sciences, The University of Tokyo)
(JAPANESE)
KOHNO Toshitake (Graduate School of Mathematical Sciences, The University of Tokyo)
(JAPANESE)
2020/03/02
Algebraic Geometry Seminar
15:30-17:00 Room #002 (Graduate School of Math. Sci. Bldg.)
Evgeny Shinder (The University of Sheffield)
Semiorthogonal decompositions for singular varieties (English)
Evgeny Shinder (The University of Sheffield)
Semiorthogonal decompositions for singular varieties (English)
[ Abstract ]
I will define the semiorthogonal decomposition for derived categories of singular projective varieties due to Professor Kawamata, into finite-dimensional algebras, generalizing the concept of an exceptional collection in the smooth case. I will present known constructions of these for nodal curves (Burban), torsion-free toric surfaces (Karmazyn-Kuznetsov-Shinder) and two nodal threefolds (Kawamata). I will also explain obstructions coming from the K_{-1} group, and how it translates to maximal nonfactoriality in the nodal threefold case. This is joint work with M.Kalck and N.Pavic.
I will define the semiorthogonal decomposition for derived categories of singular projective varieties due to Professor Kawamata, into finite-dimensional algebras, generalizing the concept of an exceptional collection in the smooth case. I will present known constructions of these for nodal curves (Burban), torsion-free toric surfaces (Karmazyn-Kuznetsov-Shinder) and two nodal threefolds (Kawamata). I will also explain obstructions coming from the K_{-1} group, and how it translates to maximal nonfactoriality in the nodal threefold case. This is joint work with M.Kalck and N.Pavic.
2020/02/28
PDE Real Analysis Seminar
16:00-17:00 Room #370 (Graduate School of Math. Sci. Bldg.)
Maximilian Moser (University of Regensburg)
Convergence of the Allen-Cahn equation with a nonlinear Robin-boundary condition to mean curvature flow with constant contact angle (English)
Maximilian Moser (University of Regensburg)
Convergence of the Allen-Cahn equation with a nonlinear Robin-boundary condition to mean curvature flow with constant contact angle (English)
[ Abstract ]
In this talk I will present a result for the sharp interface limit of the Allen-Cahn equation with a nonlinear Robin boundary condition in a two-dimensional domain, in the situation where an interface has developed and intersects the boundary. The boundary condition is designed in such a way that one obtains as the limit problem the mean curvature flow with constant contact angle. Convergence using strong norms is shown for contact angles close to 90° and small times, when a smooth solution to the limit problem exists. For the proof the method of de Mottoni and Schatzman is used: we construct an approximate solution for the Allen-Cahn system using asymptotic expansions based on the solution to the limit problem. Then we estimate the difference of the exact and approximate solution with a spectral estimate for the linearized (at the approximate solution) Allen-Cahn operator.
This is joint work with Helmut Abels from Regensburg.
In this talk I will present a result for the sharp interface limit of the Allen-Cahn equation with a nonlinear Robin boundary condition in a two-dimensional domain, in the situation where an interface has developed and intersects the boundary. The boundary condition is designed in such a way that one obtains as the limit problem the mean curvature flow with constant contact angle. Convergence using strong norms is shown for contact angles close to 90° and small times, when a smooth solution to the limit problem exists. For the proof the method of de Mottoni and Schatzman is used: we construct an approximate solution for the Allen-Cahn system using asymptotic expansions based on the solution to the limit problem. Then we estimate the difference of the exact and approximate solution with a spectral estimate for the linearized (at the approximate solution) Allen-Cahn operator.
This is joint work with Helmut Abels from Regensburg.
2020/02/21
Algebraic Geometry Seminar
13:30-15:00 Room #370 (Graduate School of Math. Sci. Bldg.)
Jakub Witaszek (Michigan)
Keel's theorem and quotients in mixed characteristic (English)
http://www-personal.umich.edu/~jakubw/
Jakub Witaszek (Michigan)
Keel's theorem and quotients in mixed characteristic (English)
[ Abstract ]
In trying to understand characteristic zero varieties one can apply a wide range of techniques coming from analytic methods such as vanishing theorems. More complicated though they are, positive characteristic varieties come naturally with Frobenius action which sometimes allows for imitating analytic proofs or even showing results which are false over complex numbers. Of all the three classes, the mixed characteristic varieties are the most difficult to understand as they represent the worst of both worlds: one lacks the analytic methods as well the Frobenius action.
What is key for many applications of Frobenius in positive characteristic (to birational geometry, moduli theory, constructing quotients, etc.) is the fact that every universal homeomorphism of algebraic varieties factors through a power of Frobenius. In this talk I will discuss an analogue of this fact (and applications thereof) in mixed characteristic.
[ Reference URL ]In trying to understand characteristic zero varieties one can apply a wide range of techniques coming from analytic methods such as vanishing theorems. More complicated though they are, positive characteristic varieties come naturally with Frobenius action which sometimes allows for imitating analytic proofs or even showing results which are false over complex numbers. Of all the three classes, the mixed characteristic varieties are the most difficult to understand as they represent the worst of both worlds: one lacks the analytic methods as well the Frobenius action.
What is key for many applications of Frobenius in positive characteristic (to birational geometry, moduli theory, constructing quotients, etc.) is the fact that every universal homeomorphism of algebraic varieties factors through a power of Frobenius. In this talk I will discuss an analogue of this fact (and applications thereof) in mixed characteristic.
http://www-personal.umich.edu/~jakubw/
2020/02/18
Tuesday Seminar of Analysis
16:50-18:20 Room #128 (Graduate School of Math. Sci. Bldg.)
Alessio Porretta (Tor Vergata university of Rome)
Long time behavior of mean field games systems (English)
Alessio Porretta (Tor Vergata university of Rome)
Long time behavior of mean field games systems (English)
[ Abstract ]
I will review several aspects related to the long time ergodic behavior of mean field game systems: the turnpike property, the exponential rate of convergence, the role of monotonicity of the couplings, the convergence of u up to translations, the limit of the vanishing discounted problem, the long time behavior of the master equation. All those aspects have independent interest and are correlated at the same time.
I will review several aspects related to the long time ergodic behavior of mean field game systems: the turnpike property, the exponential rate of convergence, the role of monotonicity of the couplings, the convergence of u up to translations, the limit of the vanishing discounted problem, the long time behavior of the master equation. All those aspects have independent interest and are correlated at the same time.
Infinite Analysis Seminar Tokyo
15:00-16:00 Room #002 (Graduate School of Math. Sci. Bldg.)
Vincent Pasquier (IPhT Saclay)
Hydrodynamics of a one dimensional lattice gas.
(ENGLISH)
Vincent Pasquier (IPhT Saclay)
Hydrodynamics of a one dimensional lattice gas.
(ENGLISH)
[ Abstract ]
The simplest boxball model is a one dimensional lattice gas obtained as
a certain (cristal) limit of the six vertex model where the evolution
determined by the transfer matrix becomes deterministic. One can
study its thermodynamics in and out of equilibrium and we shall present
preliminary results in this direction.
Collaboration with Atsuo Kuniba and Grégoire Misguich.
The simplest boxball model is a one dimensional lattice gas obtained as
a certain (cristal) limit of the six vertex model where the evolution
determined by the transfer matrix becomes deterministic. One can
study its thermodynamics in and out of equilibrium and we shall present
preliminary results in this direction.
Collaboration with Atsuo Kuniba and Grégoire Misguich.
2020/02/17
Seminar on Geometric Complex Analysis
10:30-12:00 Room #128 (Graduate School of Math. Sci. Bldg.)
Toshiki Mabuchi (Osaka Univ.)
Precompactness of the moduli space of pseudo-normed graded algebras
Toshiki Mabuchi (Osaka Univ.)
Precompactness of the moduli space of pseudo-normed graded algebras
[ Abstract ]
Graded algebras (such as canonical rings) coming from the spaces of sections of polarized algebraic varieties are studied by many mathematicians. On the other hand, the pseudo-norm project proposed by S.-T. Yau and C.-Y. Chi gives us a new differential geometric aspect of the Torelli type theorem.
In this talk, we give the details of how the geometry of pseudo-normed graded algebras allows us to obtain a natural compactification of the moduli space of pseudo-normed graded algebras.
(1) For a sequence of pseudo-normed graded algebras (of the same type), the above precompactness gives us some limit different from the Gromov-Hausdorff limit in Riemannian geometry.
(2) As an example of our construction, we have the Deligne-Mumford compactification, in which the notion of the orthogonal direct sum of pseudo-normed spaces comes up naturally. We also have a higher dimensional analogue by using weight filtration.
Graded algebras (such as canonical rings) coming from the spaces of sections of polarized algebraic varieties are studied by many mathematicians. On the other hand, the pseudo-norm project proposed by S.-T. Yau and C.-Y. Chi gives us a new differential geometric aspect of the Torelli type theorem.
In this talk, we give the details of how the geometry of pseudo-normed graded algebras allows us to obtain a natural compactification of the moduli space of pseudo-normed graded algebras.
(1) For a sequence of pseudo-normed graded algebras (of the same type), the above precompactness gives us some limit different from the Gromov-Hausdorff limit in Riemannian geometry.
(2) As an example of our construction, we have the Deligne-Mumford compactification, in which the notion of the orthogonal direct sum of pseudo-normed spaces comes up naturally. We also have a higher dimensional analogue by using weight filtration.
Discrete mathematical modelling seminar
16:30-18:30 Room #126 (Graduate School of Math. Sci. Bldg.)
Sanjay Ramassamy (IPhT, CEA Saclay)
Cluster algebras, dimer models and geometric dynamics
Sanjay Ramassamy (IPhT, CEA Saclay)
Cluster algebras, dimer models and geometric dynamics
[ Abstract ]
Cluster algebras were introduced by Fomin and Zelevinsky at the beginning of the 21st century and have since then been related to several areas of mathematics. In this talk I will describe cluster algebras coming from quivers and give two concrete situations were they arise. The first is the bipartite dimer model coming from statistical mechanics. The second is in several dynamics on configurations of points/lines/circles/planes.
This is based on joint work with Niklas Affolter (TU Berlin), Max Glick (Google) and Pavlo Pylyavskyy (University of Minnesota).
Cluster algebras were introduced by Fomin and Zelevinsky at the beginning of the 21st century and have since then been related to several areas of mathematics. In this talk I will describe cluster algebras coming from quivers and give two concrete situations were they arise. The first is the bipartite dimer model coming from statistical mechanics. The second is in several dynamics on configurations of points/lines/circles/planes.
This is based on joint work with Niklas Affolter (TU Berlin), Max Glick (Google) and Pavlo Pylyavskyy (University of Minnesota).
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