## Seminar information archive

#### GCOE Seminars

17:15-18:15   Room #370 (Graduate School of Math. Sci. Bldg.)
Volker Schulz (Trier University)
Shape and topology optimization in application (ENGLISH)
[ Abstract ]
Shape and topology optimization currently is of high interest for applications but also from a theoretical point of view. Recently, new developments in the shape calculus and in a related calculus for topology have enabled successful solutions of challenging optimization problems. This talk specifically reports on parameter free shape optimization in aerodynamics, thermoelastics and acoustics. Furthermore, novel results for the elastic topology optimization of the interior of wings are presented. We will try to give insight into the challenges in this field as well as the numerical solution approaches.

### 2013/01/22

#### Lie Groups and Representation Theory

16:30-18:00   Room #126 (Graduate School of Math. Sci. Bldg.)
Simon Goodwin (Birmingham University)
Representation theory of finite W-algebras (ENGLISH)
[ Abstract ]
There has been a great deal of recent research interest in finite W-algebras motivated by important connection with primitive ideals of universal enveloping algebras and applications in mathematical physics.
There have been significant breakthroughs in the rerpesentation theory of finite W-algebras due to the research of a variety of mathematicians.
In this talk, we will give an overview of the representation theory of finite W-algebras focussing on W-algebras associated to classical Lie algebras (joint with J. Brown) and W-algebras associated to general linear Lie superalgebras (joint with J. Brown and J. Brundan).

#### Tuesday Seminar on Topology

16:30-18:00   Room #056 (Graduate School of Math. Sci. Bldg.)
Jarek Kedra (University of Aberdeen)
On the autonomous metric of the area preserving diffeomorphism
of the two dimensional disc. (ENGLISH)
[ Abstract ]
Let D be the open unit disc in the Euclidean plane and let
G:=Diff(D, area) be the group of smooth compactly supported
area-preserving diffeomorphisms of D. A diffeomorphism is called
autonomous if it is the time one map of the flow of a time independent
vector field. Every diffeomorphism in G is a composition of a number
of autonomous diffeomorphisms. The least amount of such
diffeomorphisms defines a norm on G. In the talk I will investigate
geometric properties of such a norm.

In particular I will construct a bi-Lipschitz embedding of the free
abelian group of arbitrary rank to G. I will also show that the space
of homogeneous quasi-morphisms vanishing on all autonomous
diffeomorphisms in G is infinite dimensional.

This is a joint work with Michael Brandenbursky.

### 2013/01/21

#### Tuesday Seminar on Topology

16:30-17:30   Room #002 (Graduate School of Math. Sci. Bldg.)
Naoki Kato (The University of Tokyo
)
Lie foliations transversely modeled on nilpotent Lie
algebras
(JAPANESE)
[ Abstract ]
To each Lie $\\mathfrak{g}$-foliation, there is an associated subalgebra
$\\mathfrak{h}$ of $\\mathfrak{g}$ with the foliation, which is called the
structure Lie algabra. In this talk, we will explain the inverse problem,
that is, which pair $(\\mathfrak{g},\\mathfrak{h})$ can be realized as a
Lie $\\mathfrak{g}$-foliation with the structure Lie algabra $\\mathfrak{h}$, under the assumption that $\\mathfrak{g}$ is nilpotent.

#### Tuesday Seminar on Topology

17:30-18:30   Room #002 (Graduate School of Math. Sci. Bldg.)
Tomohiko Ishida (The University of Tokyo)
Quasi-morphisms on the group of area-preserving diffeomorphisms of
the 2-disk
(JAPANESE)
[ Abstract ]
Gambaudo and Ghys constructed linearly independent countably many quasi-
morphisms on the group of area-preserving diffeomorphisms of the 2-disk
from quasi-morphisms on braid groups.
In this talk, we will explain that their construction is injective as a
homomorphism between vector spaces of quasi-morphisms.
If time permits, we introduce an application by Brandenbursky and K\\c{e}
dra.

#### Seminar on Geometric Complex Analysis

10:30-12:00   Room #126 (Graduate School of Math. Sci. Bldg.)
Takushi AMEMIYA (MS U-Tokyo)
Value distribution of meromorphic mappings to compact complex manifolds (JAPANESE)
[ Abstract ]
In a late paper of J. Noguchi and J. Winkelmann they showed the condition of being Kähler or non-Kähler of the image space to make a difference in the value distribution theory of meromorphic mappings into compact complex manifolds. In the present talk, we will discuss the order of meromorphic mappings to a Hopf surface which is more general than dealt with by Noguchi-Winkelmann, and an Inoue surface (they are non-Kähler surfaces). For a general Hopf surface $S$, we prove that there exists a differentiably non-degenerate holomorphic mapping $f:\mathbf{C}^2 \to S$ whose order satisfies $\rho_{f}\leq 1$. For an Inoue surface $S'$, we prove that every non-constant meromorphic mapping $f:\mathbf{C}^n \to S'$ is holomorphic and its order satisfies $\rho_{f}\geq 2$.

### 2013/01/16

#### Geometry Colloquium

10:30-12:00   Room #122 (Graduate School of Math. Sci. Bldg.)
Yuuji Tanaka (Kyoto University)
A construction of Spin(7)-instantons (JAPANESE)
[ Abstract ]
Spin(7)-instantons are elliptic gauge fields on 8-dimensional Spin(7)-manifolds, which minimize the Yang-Mills action. Analytic properties of Spin(7)-instantons have been studied by Gang Tian and others, but little was known about the existence of examples of Spin(7)-instantons other than an Oxford Ph.D thesis by Christopher Lewis in 1998.
There are two known constructions of compact Spin(7)-manifolds both obtained by Dominic Joyce. The first one begins with a torus orbifold of a special kind with non-isolated singularities. The Spin(7)-manifold is obtained by resolving the singularities with the aid of algebraic geometry techniques. The second one begins with a Calabi-Yau four-orbifold with isolated singular points of a special kind and an anti-holomorphic involution fixing only the singular points. The Spin(7)-manifold is obtained by gluing ALE Spin(7)-manifolds with anti-holomorphic involutions fixing only the origins to each singular point.
Christopher Lewis studied the problem of constructing Spin(7)-instantons on Spin(7)-manifolds coming from Joyce's first construction.
This talk describes a general construction of Spin(7)-instantons on examples of compact Spin(7)-manifolds coming from Joyce's second construction. Starting with certain Hermitian-Einstein connections on the Calabi-Yau four-orbifold and on ALE Spin(7)-manifolds, we glue them together simultaneously with the underlying pieces to make a Spin(7)-instanton on the compact Spin(7)-manifold by Joyce.

#### Number Theory Seminar

18:00-19:00   Room #002 (Graduate School of Math. Sci. Bldg.)
Shun Ohkubo (University of Tokyo)
On differential modules associated to de Rham representations in the imperfect residue field case (ENGLISH)
[ Abstract ]
Let K be a CDVF of mixed characteristic (0,p) and G the absolute Galois group of K. When the residue field of K is perfect, Laurent Berger constructed a p-adic differential equation N_dR(V) for any de Rham representation V of G. In this talk, we will generalize his construction when the residue field of K is not perfect. We also explain some ramification properties of our N_dR, which are due to Adriano Marmora in the perfect residue field case.

#### Lectures

10:00-11:00   Room #123 (Graduate School of Math. Sci. Bldg.)
R\'emi Boutonnet (ENS Lyon)
$W^*$-superrigidity of mixing Gaussian actions of rigid groups (ENGLISH)

#### Lectures

11:30-12:30   Room #123 (Graduate School of Math. Sci. Bldg.)
Tim de Laat (University of Copenhagen)
The Approximation Property for Lie groups (ENGLISH)

#### Lectures

14:40-15:40   Room #118 (Graduate School of Math. Sci. Bldg.)
Arnaud Brothier (KU Leuven)
Unique Cartan decomposition for II$_1$ factors arising from cross section equivalence relations (ENGLISH)

#### Lectures

15:55-16:55   Room #118 (Graduate School of Math. Sci. Bldg.)
Michael Hartglass (UC Berkeley)
Rigid $C^*$ tensor categories of bimodules over interpolated
free group factors (ENGLISH)

#### Lectures

17:10-18:10   Room #118 (Graduate School of Math. Sci. Bldg.)
James Tener (UC Berkeley)
Manifestly unitary conformal field theory (ENGLISH)

#### GCOE Seminars

14:40-15:40   Room #118 (Graduate School of Math. Sci. Bldg.)
Arnaud Brothier (KU Leuven)
Unique Cartan decomposition for II$_1$ factors arising from cross section equivalence relations (ENGLISH)
[ Reference URL ]
http://www.ms.u-tokyo.ac.jp/~yasuyuki/mini2013-2.htm

#### GCOE Seminars

15:55-16:55   Room #118 (Graduate School of Math. Sci. Bldg.)
Michael Hartglass (UC Berkeley)
TBA (ENGLISH)
[ Reference URL ]
http://www.ms.u-tokyo.ac.jp/~yasuyuki/mini2013-2.htm

#### GCOE Seminars

16:00-17:00   Room #370 (Graduate School of Math. Sci. Bldg.)
3-D Calderon's Problem with partial Dirichlet-to Neumann map (ENGLISH)
[ Abstract ]
We present new results for the uniqueness of recovery of a potential in three dimensional Calderon's problem with partial Dirichlet-to-Neumann map.
The proof is based on complex geometric optics solutions and the Radon transform.

### 2013/01/15

#### Mathematical Biology Seminar

14:00-16:00   Room #152 (Graduate School of Math. Sci. Bldg.)
Yukihiko Nakata (
Bolyai Institute, University of Szeged)
Differential equation models describing cell proliferation process and their dynamics (JAPANESE)

#### Numerical Analysis Seminar

16:30-18:00   Room #002 (Graduate School of Math. Sci. Bldg.)
Kaname Matsue (Tohoku University)
[ Reference URL ]
http://www.infsup.jp/utnas/

#### Mathematical Biology Seminar

14:00-16:00   Room #152 (Graduate School of Math. Sci. Bldg.)
Shinji Nakaoka (RIKEN)
Formulation of transient amplifying cell population growth process based on generation progression models (JAPANESE)

#### Algebraic Geometry Seminar

15:30-17:00   Room #128 (Graduate School of Math. Sci. Bldg.)
Jungkai Alfred Chen (National Taiwan University)
Three Dimensional Birational Geoemtry--updates and problems (ENGLISH)
[ Abstract ]
In this talk I will talk about some recent results on
biratioanl classification and biratioanl geoemtry of threefolds.

Given a threefold of general type, we improved our previous result by
showing that $Vol \\ge 1/1680$ and $|mK_X|$ is biratioanl for $m \\ge 61$.
Compare with the worst known example that $X_{46} \\subset \\mathbb{P}(4,5,6,7,23)$, one also knows that there are only finiteley
many singularities type
for threefolds of general type with $1/1680 \\le Vol \\le 1/420$. It is
then intereting to study threefolds of general type with given basket
of singularities and with given fiber structure.
Concerning threefolds with intermediate Kodaira dimension, we
considered the effective Iitaka fibration. For this purpose, it is
interesting to study threefolds with $\\kappa=1$ with given basket of
singularities and abelian fibration.

For explicit birational geoemtry, we will show our result that each
biratioanl map in minimal model program can be factored into a
sequence of following maps (or its inverse)
1. a divisorial contraction to a point of index r with discrepancy 1/r.
2. a blowup along a smooth curve
3. a flop

### 2013/01/11

#### Lectures

10:00-11:00   Room #123 (Graduate School of Math. Sci. Bldg.)
Sven Raum (KU Leuven)
A duality between easy quantum groups and reflection groups (ENGLISH)

#### Lectures

11:15-12:15   Room #123 (Graduate School of Math. Sci. Bldg.)
An Speelman (KU Leuven)
Some non-uniqueness results for Cartan subalgebras in II$_1$ factors (ENGLISH)

#### Lectures

14:00-15:00   Room #123 (Graduate School of Math. Sci. Bldg.)
Ionut Chifan (University of Iowa)
Structural results for II$_1$ factors of negatively curved groups (ENGLISH)

#### Lectures

15:15-16:15   Room #123 (Graduate School of Math. Sci. Bldg.)
Karen Strung (Universit\"at M\"unster)
UHF slicing and classification of nuclear $C^*$-algebras (ENGLISH)

#### Lectures

16:30-17:30   Room #123 (Graduate School of Math. Sci. Bldg.)
Hannes Thiel (University of Copenhagen)
The generator problem for $C^*$-algebras (ENGLISH)