講演会

14:00-15:00 数理科学研究科棟(駒場) 123号室
Dror Bar-Natan 氏 (University of Toronto)
Cars, Interchanges, Traffic Counters, and some Pretty Darned Good Knot Invariants (English)

[ 講演概要 ]
Reporting on joint work with Roland van der Veen, I'll tell you some stories about ρ_1, an easy to define, strong, fast to compute, homomorphic, and well-connected knot invariant. ρ_1 was first studied by Rozansky and Overbay, it is dominated by the coloured Jones polynomial (but it isn't lesser!), it has far-reaching generalizations, and I wish I understood it.

[ 参考URL ]
http://www.math.toronto.edu/~drorbn/Talks/Tokyo-230808/

15:30-16:30 数理科学研究科棟(駒場) 123号室
Dror Bar-Natan 氏 (University of Toronto)
Shifted Partial Quadratics, their Pushwards, and Signature Invariants for Tangles (English)

[ 講演概要 ]
Following a general discussion of the computation of zombians of unfinished columbaria (with examples), I will tell you about my recent joint work with Jessica Liu on what we feel is the "textbook" extension of knot signatures to tangles, which for unknown reasons, is not in any of the textbooks that we know.

[ 参考URL ]
http://www.math.toronto.edu/~drorbn/Talks/Tokyo-230808/

15:00-16:30 数理科学研究科棟(駒場) 122号室
Stefano Olla 氏 (Dauphine大学)
Diffusive behavior in completely integrable infinite dynamics (English)

[ 講演概要 ]
We investigate the macroscopic behaviour of the density fluctuations of a one dimensional dynamics of hard rods with random length. After recentering on the effective velocity the density fluctuations of particles of a given velocity v will evolve on the diffusive scaling driven by a brownian motion with a diffusivity depending on v. This rigid evolution of fluctuations is expected in other completely integrable systems (Box-Ball, Toda Lattice,..), in contrast with the behavior in chaotic dynamics.
Joint work with Pablo Ferrari (U. Buenos Aires).

16:00-17:00 オンライン開催
Prof. Yi-Hsuan Lin 氏 (National Yang Ming Chiao Tung University, Taiwan)
The Calder'on problem for nonlocal parabolic operators (English)

[ 講演概要 ]
We investigate inverse problems in the determination of leading coefficients for nonlocal parabolic operators, by knowing the corresponding Cauchy data in the exterior space-time domain. The key contribution is that we reduce nonlocal parabolic inverse problems to the corresponding local inverse problems with the lateral boundary Cauchy data. In addition, we derive a new equation and offer a novel proof of the unique continuation property for this new equation. We also build both uniqueness and non-uniqueness results for both nonlocal isotropic and anisotropic parabolic Calder'on problems, respectively.
This is a joint work with Ching-Lung Lin and Gunther Uhlmann.

[ 参考URL ]
https://u-tokyo-ac-jp.zoom.us/j/82806510515?pwd=NEk1RDlMVEFOTEg4WE1MekRySlJpdz09

16:00-17:00 オンライン開催
Professor Salah-Eddine CHORFI 氏 (Cadi Ayyad University, Faculty of Sciences, モロッコ)
Logarithmic convexity of semigroups and inverse problems for parabolic equations (English)
[ 参考URL ]
https://u-tokyo-ac-jp.zoom.us/j/83149935801?pwd=OE5aanNBVGxvajNycXgyb2RKcW1kZz09

17:00-18:00 オンライン開催
Professor Debora Presti 氏 (Messina University)
On the source of the catastrophic 1908 Messina tsunami, southern Italy (English)
[ 参考URL ]
https://u-tokyo-ac-jp.zoom.us/j/81296515694?pwd=dlNZY2dZWDRENmdscjRWcFM1MjRCQT09

16:00-17:00 オンライン開催
Professor Salah-Eddine CHORFI 氏 (Cadi Ayyad University, Faculty of Sciences, モロッコ)
Controllability and inverse problems for parabolic equations with dynamic boundary conditions. (English)
[ 参考URL ]
https://u-tokyo-ac-jp.zoom.us/j/83149935801?pwd=OE5aanNBVGxvajNycXgyb2RKcW1kZz09

11:00-12:30 オンライン開催
Professor O. Emanouilov (Colorado State Univ.) による連続セミナー
Professor O. Emanouilov 氏 (Colorado State Univ.)
Inverse problems for partial differential equations: past and future works (English)
[ 参考URL ]
https://u-tokyo-ac-jp.zoom.us/j/88649482949?pwd=Yk9sNzJDNmNmZlRDeXAvcFFtcUkzUT09

16:45-18:15 数理科学研究科棟(駒場) 126号室
対面・オンラインハイブリッド開催オンライン参加希望の場合は、参考URLより18日の17時までに登録をお願いします。
Mykhaylo Shkolnikov 氏 (プリンストン大学)
Probabilistic solutions of singular free boundary problems (English)

[ 講演概要 ]
The main focus of the talk will be on a new, probabilistic, concept of solution to singular free boundary problems, in which boundary points may move at infinite speed. I will discuss this new concept in the context of Stefan problems from mathematical physics that describe melting/solidification of a solid/liquid (e.g., ice/water) in the presence of supercooling. In particular, I will present new global existence, regularity and uniqueness results for the two geometrically simplest settings: flat and radial. Based on joint works with Sergey Nadtochiy, Francois Delarue and Yucheng Guo.

[ 参考URL ]
https://forms.gle/XXH2cAb18pQhC6w96

16:00-17:30 オンライン開催
卓越大学院プログラムによる Professor O. Emanouilov による連続セミナー
Professor O. Emanouilov 氏 (Colorado State Univ.)
Prospects
[ 参考URL ]
https://u-tokyo-ac-jp.zoom.us/j/81167784080?pwd=VE94RnNYcmJZUXJ4QTIvZUhEQmVJZz09

16:00-17:30 オンライン開催
卓越大学院プログラムによる Professor O. Emanouilov による連続セミナー
Professor O. Emanouilov 氏 (Colorado State Univ.)
Inverse problems for fluid dynamics
[ 参考URL ]
https://u-tokyo-ac-jp.zoom.us/j/81167784080?pwd=VE94RnNYcmJZUXJ4QTIvZUhEQmVJZz09

16:00-17:30 オンライン開催
卓越大学院プログラムによる Professor O. Emanouilov による連続セミナー
Professor O. Emanouilov 氏 (Colorado State Univ.)
Inverse parabolic problems: recent results
[ 参考URL ]
https://u-tokyo-ac-jp.zoom.us/j/83144151309?pwd=NEIwbzdGNU5xcFR2UTFWbnZlOW5pUT09

16:00-17:30 オンライン開催
卓越大学院プログラムによる Professor O. Emanouilov による連続セミナー
Professor O. Emanouilov 氏 (Colorado State Univ.)
DN map for hyperbolic inverse problems
[ 参考URL ]
https://u-tokyo-ac-jp.zoom.us/j/83144151309?pwd=NEIwbzdGNU5xcFR2UTFWbnZlOW5pUT09

16:00-17:30 オンライン開催
卓越大学院プログラムによるProfessor O. Emanouilov による連続セミナー(2日目）
Professor O. Emanouilov 氏 (Colorado State University)
Recent researches on inverse problems by Carleman estimatesPart II + discussions on new aspects of mathematical analysis for inverse problems
[ 参考URL ]
https://u-tokyo-ac-jp.zoom.us/j/81424491417?pwd=T1BOMWtmZkhtY0pjUEs1NFZUZEYzQT09

16:00-17:30 オンライン開催
卓越大学院プログラムによる Professor O. Emanouilov による連続セミナー(1日目）
Professor O. Emanouilov 氏 (Colorado State University )
Recent researches on inverse problems by Carleman estimates Part I
[ 参考URL ]
https://u-tokyo-ac-jp.zoom.us/j/81424491417?pwd=T1BOMWtmZkhtY0pjUEs1NFZUZEYzQT09

18:00-19:00 オンライン開催
全３回連続講演の３日目 (3/17,18,19)
Matthew Morrow 氏 (CNRS, IMJ-PRG)
Progress in syntomic cohomology (ENGLISH)

[ 講演概要 ]
The talks will present a survey of the (quasi)syntomic cohomology theory introduced by Bhatt, Scholze, and the speaker; this provides a variant of the syntomic cohomology of Fontaine, Kato, and Messing which has the advantage of being defined in a greater degree of generality and working well with torsion coefficients even for small primes. Although it underlies in principle a general theory of p-adic étale motivic cohomology, the talks will probably focus more on arithmetic aspects such as applications in p-adic Hodge theory. Based on various projects joint with Antieau, Bhatt, Clausen, Kelly, Lüders, Mathew, Nikolaus, and Scholze.

[ 参考URL ]
https://www.ms.u-tokyo.ac.jp/~shiho/spparis/index.html

17:30-18:30 オンライン開催
全３回連続講演の2日目 (3/17,18,19)
Matthew Morrow 氏 (CNRS, IMJ-PRG)
Progress in syntomic cohomology (ENGLISH)

[ 講演概要 ]
The talks will present a survey of the (quasi)syntomic cohomology theory introduced by Bhatt, Scholze, and the speaker; this provides a variant of the syntomic cohomology of Fontaine, Kato, and Messing which has the advantage of being defined in a greater degree of generality and working well with torsion coefficients even for small primes. Although it underlies in principle a general theory of p-adic étale motivic cohomology, the talks will probably focus more on arithmetic aspects such as applications in p-adic Hodge theory. Based on various projects joint with Antieau, Bhatt, Clausen, Kelly, Lüders, Mathew, Nikolaus, and Scholze.

[ 参考URL ]
https://www.ms.u-tokyo.ac.jp/~shiho/spparis/index.html

17:30-18:30 オンライン開催
全３回連続講演の1日目 (3/17,18,19)
Matthew Morrow 氏 (CNRS, IMJ-PRG)
Progress in syntomic cohomology (ENGLISH)

[ 講演概要 ]
The talks will present a survey of the (quasi)syntomic cohomology theory introduced by Bhatt, Scholze, and the speaker; this provides a variant of the syntomic cohomology of Fontaine, Kato, and Messing which has the advantage of being defined in a greater degree of generality and working well with torsion coefficients even for small primes. Although it underlies in principle a general theory of p-adic étale motivic cohomology, the talks will probably focus more on arithmetic aspects such as applications in p-adic Hodge theory. Based on various projects joint with Antieau, Bhatt, Clausen, Kelly, Lüders, Mathew, Nikolaus, and Scholze.

[ 参考URL ]
https://www.ms.u-tokyo.ac.jp/~shiho/spparis/index.html

10:00-11:30 数理科学研究科棟(駒場) 126号室
Javier Fresan 氏 (Ecole Polytechnique)
Nori motives over function fields and period functions (ENGLISH)

[ 講演概要 ]
Around twenty years ago, Nori introduced a tannakian category of mixed motives over a subfield of the complex numbers, thus giving the first unconditional construction of the motivic Galois group. In this series of lectures, I will first survey on Nori's theory and its relationship to other categories of motives. I will then explain how to extend his construction to functions fields and why the resulting tannakian group governs
algebraic relations between period functions.
This last part is based on an ongoing work with Peter Jossen.

14:00-17:30 数理科学研究科棟(駒場) 126号室
Javier Fresan 氏 (Ecole Polytechnique)
Nori motives over function fields and period functions (ENGLISH)

[ 講演概要 ]
Around twenty years ago, Nori introduced a tannakian category of mixed motives over a subfield of the complex numbers, thus giving the first unconditional construction of the motivic Galois group. In this series of lectures, I will first survey on Nori's theory and its relationship to other categories of motives. I will then explain how to extend his construction to functions fields and why the resulting tannakian group governs
algebraic relations between period functions.
This last part is based on an ongoing work with Peter Jossen.

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