## Kyoto Young Topologists Seminar

Date

7th (Fri.) Dec. From 3:00 p.m., 2018

Speaker

Hironobu Naoe (Tohoku univ.)

Title

**
Shadows and Milnor fibrations of divides
**

Abstract

A’Campo introduced a divide as a generalization of real morsified curves of complex plane curve singularities. A’Campo showed that the link of a connected divide is fibered, moreover such a fibration comes from the “boundary” of a Lefschetz fibration. We interpret them in terms of Turaev' s shadows. This is a joint work with Masaharu Ishikawa.

Venue

Room 110

HP：http://www.kurims.kyoto-u.ac.jp/~shimizu/YTS.html

Date

27th (Mon.) Aug. 2:30 p.m.-- , 2018

Speaker

Delphine Moussard (RIMS)

Title

**
Torsions of 4-manifolds from trisection diagrams
**

Abstract

We will see how to compute the (non-)twisted homology, the
(non-)twisted intersection form and the abelian torsions of a 4-manifold
from a trisection diagram. This is a joint work with Vincent Florens.

HP：http://www.kurims.kyoto-u.ac.jp/~shimizu/YTS.html

Venue

#478(4th floor of the Research Building no.2 in Yoshida Main campus)

Date

23th (Mon.) July, 2:15 p.m.-- , 2018

Speaker

Sakie Suzuki (Tokyo Tech)

Title

**
Factorizations of the universal R matrix and the universal quantum
invariant for framed 3-manifolds
**

Abstract

Take the Drinfeld double D(B) of the Borel subalgebra B of the
quantized enveloping algebra Uq(sl2) of sl2. We consider two embeddings of
D(B) as an algebra, into a double of Heisenberg double and into a quantum
torus algebra. With both embeddings, each image of the universal R matrix
has a factorization into a product of four elements each satisfying a
pentagon relation. This setting leads us to the Kashaev invariant of links
and to quantum Teichmuller* theory . In this talk I will explain these
situations and show our trials to unify these studies in a view point of
the universal S tensor and framed 3-manifolds. This talk includes a joint
work with Y. Terashima.

(*: "u" is u-Umlaut.)

HP：http://www.kurims.kyoto-u.ac.jp/~shimizu/YTS.html

Venue

110 @RIMS main building

Date

25th(Mon.) June, 13:00 -- , 2018

Speaker

Yusuke Inagaki(Osaka)

Title

**
Anosov representations and their deformation spaces
**

Abstract

Anosov representations are representations of Gromov hyperbolic
groups into higher rank Lie groups with a dynamical property. These
representations have been introduced by Labourie, and studied in the
viewpoint of a generalization of Kleinian groups. In this talk, we review
the definition and remarkable properties of Anosov representations, and
discuss examples of their deformation spaces, called Hitchin components.

HP：http://www.kurims.kyoto-u.ac.jp/~shimizu/YTS.html

Venue

Room #478(4th floor of the Research Building no.2 in Yoshida Main campus).