## Seminar information archive

Seminar information archive ～04/13｜Today's seminar 04/14 | Future seminars 04/15～

#### thesis presentations

10:45-12:00 Room #118 (Graduate School of Math. Sci. Bldg.)

#### thesis presentations

12:45-14:00 Room #118 (Graduate School of Math. Sci. Bldg.)

#### thesis presentations

14:15-15:30 Room #118 (Graduate School of Math. Sci. Bldg.)

#### thesis presentations

9:15-10:30 Room #122 (Graduate School of Math. Sci. Bldg.)

#### thesis presentations

10:45-12:00 Room #122 (Graduate School of Math. Sci. Bldg.)

#### thesis presentations

12:45-14:00 Room #122 (Graduate School of Math. Sci. Bldg.)

#### thesis presentations

14:15-15:30 Room #122 (Graduate School of Math. Sci. Bldg.)

#### thesis presentations

9:15-10:30 Room #126 (Graduate School of Math. Sci. Bldg.)

#### thesis presentations

10:45-12:00 Room #126 (Graduate School of Math. Sci. Bldg.)

#### thesis presentations

12:45-14:00 Room #126 (Graduate School of Math. Sci. Bldg.)

#### thesis presentations

14:15-15:30 Room #126 (Graduate School of Math. Sci. Bldg.)

### 2020/01/30

#### thesis presentations

10:45-12:00 Room #118 (Graduate School of Math. Sci. Bldg.)

#### thesis presentations

12:45-14:00 Room #118 (Graduate School of Math. Sci. Bldg.)

#### thesis presentations

14:15-15:30 Room #118 (Graduate School of Math. Sci. Bldg.)

#### thesis presentations

15:45-17:00 Room #118 (Graduate School of Math. Sci. Bldg.)

#### thesis presentations

9:15-10:30 Room #122 (Graduate School of Math. Sci. Bldg.)

#### thesis presentations

12:45-14:00 Room #122 (Graduate School of Math. Sci. Bldg.)

#### thesis presentations

13:45-15:00 Room #126 (Graduate School of Math. Sci. Bldg.)

### 2020/01/29

#### Operator Algebra Seminars

13:00-14:30 Room #002 (Graduate School of Math. Sci. Bldg.)

Horn's problem, polytope volumes and tensor product decompositions (English)

**Colin McSwiggen**(Brown Univ.)Horn's problem, polytope volumes and tensor product decompositions (English)

#### Operator Algebra Seminars

16:45-18:15 Room #126 (Graduate School of Math. Sci. Bldg.)

Stationary actions of higher rank lattices on von Neumann algebras (English)

**Cyril Houdayer**(Univ. Paris-Sud)Stationary actions of higher rank lattices on von Neumann algebras (English)

### 2020/01/28

#### Tuesday Seminar on Topology

17:00-18:00 Room #056 (Graduate School of Math. Sci. Bldg.)

Existence problems for fibered links (JAPANESE)

**Nozomu Sekino**(The University of Tokyo)Existence problems for fibered links (JAPANESE)

[ Abstract ]

It is known that every connected orientable closed 3-manifold has a fibered knot. However, finding (and classifying) fibered links whose fiber surfaces are fixed homeomorphism type in a given 3-manifold is difficult in general. We give a criterion of a simple closed curve on a genus 2g Heegaard surface being a genus g fibered knot in terms of its Heegaard diagram. As an application, we can prove the non-existence of genus one fibered knots in some Seifert manifolds.

There is one generalization of fibered links, homologically fibered links. This requests that the complement of the "fiber surface" is a homologically product of a surface and an interval. We give a necessary and sufficient condition for a connected sums of lens spaces of having a homologically fibered link whose fiber surfaces are some fixed types as some algebraic equations.

It is known that every connected orientable closed 3-manifold has a fibered knot. However, finding (and classifying) fibered links whose fiber surfaces are fixed homeomorphism type in a given 3-manifold is difficult in general. We give a criterion of a simple closed curve on a genus 2g Heegaard surface being a genus g fibered knot in terms of its Heegaard diagram. As an application, we can prove the non-existence of genus one fibered knots in some Seifert manifolds.

There is one generalization of fibered links, homologically fibered links. This requests that the complement of the "fiber surface" is a homologically product of a surface and an interval. We give a necessary and sufficient condition for a connected sums of lens spaces of having a homologically fibered link whose fiber surfaces are some fixed types as some algebraic equations.

#### Tuesday Seminar on Topology

18:00-19:00 Room #056 (Graduate School of Math. Sci. Bldg.)

Fibred cusp b-pseudodifferential operators and its applications (JAPANESE)

**Jun Watanabe**(The University of Tokyo)Fibred cusp b-pseudodifferential operators and its applications (JAPANESE)

[ Abstract ]

Melrose's b-calculus and its variants are important tools to study index problems on manifolds with singularities. In this talk, we introduce a new variant "fibred cusp b-calculus", which is a generalization of fibred cusp calculus of Mazzeo-Melrose and b-calculus of Melrose. We discuss the basic property of this calculus and give a relative index formula. As its application, we prove the index theorem for a Z/k manifold with boundary, which is a generalization of the mod k index theorem of Freed-Melrose.

Melrose's b-calculus and its variants are important tools to study index problems on manifolds with singularities. In this talk, we introduce a new variant "fibred cusp b-calculus", which is a generalization of fibred cusp calculus of Mazzeo-Melrose and b-calculus of Melrose. We discuss the basic property of this calculus and give a relative index formula. As its application, we prove the index theorem for a Z/k manifold with boundary, which is a generalization of the mod k index theorem of Freed-Melrose.

#### Lie Groups and Representation Theory

10:00-16:40 Room # (Graduate School of Math. Sci. Bldg.)

Relationship between orbit decomposition on the flag varieties and multiplicities of induced representations (English)

TBA (English)

From Symmetry breaking toward holographic transform in representation theory (English)

Cells of Harish-Chandra modules

(English)

**Taito Tauchi**(The University of Tokyo) 10:00-11:00Relationship between orbit decomposition on the flag varieties and multiplicities of induced representations (English)

**Mikhail Kapranov**(Kavli IPMU) 11:20-12:20TBA (English)

**Michael Pevzner**(University of Reims) 14:00-15:00From Symmetry breaking toward holographic transform in representation theory (English)

**Leticia Barchini**(Oklahoma University) 15:40-16:40Cells of Harish-Chandra modules

(English)

### 2020/01/27

#### Seminar on Geometric Complex Analysis

10:30-12:00 Room #128 (Graduate School of Math. Sci. Bldg.)

Canonical measure and it’s applications

**Hajime Tsuji**(Sophia Univ.)Canonical measure and it’s applications

[ Abstract ]

The canonical measure is a natural generalization of K\”ahler-Einstein metrics to the case of projective manifolds with nonnegative Kodaira dimension. In this talk we consider the variation of canonical measures under projective deformations and give some applications.

The canonical measure is a natural generalization of K\”ahler-Einstein metrics to the case of projective manifolds with nonnegative Kodaira dimension. In this talk we consider the variation of canonical measures under projective deformations and give some applications.

#### Lie Groups and Representation Theory

9:30-16:30 Room # (Graduate School of Math. Sci. Bldg.)

TBA (English)

Regular Representations on Homogeneous Spaces (English)

The adapted hyper-K\"ahler structure on the tangent bundle of a Hermitian symmetric space (English)

UNIVERSAL NATURE OF THE HOROSPHERICAL TRANSFORM IN SYMMETRIC SPACES (English)

**Joseph Bernstein**(Tel Aviv and The University of Tokyo) 10:00-11:00TBA (English)

**Toshiyuki Kobayashi**(The University of Tokyo) 11:20-12:20Regular Representations on Homogeneous Spaces (English)

**Laura Geatti**(University of Roma) 14:00-15:00The adapted hyper-K\"ahler structure on the tangent bundle of a Hermitian symmetric space (English)

**Simon Gindikin**(Rutgers University) 15:30-16:30UNIVERSAL NATURE OF THE HOROSPHERICAL TRANSFORM IN SYMMETRIC SPACES (English)

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