Kyoto Young Topologists Seminar

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

Organizer Delphine Moussard(RIMS), Kenta Okazaki(RIMS), Tatsuro Shimizu(RIMS)

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).

Organizer Delphine Moussard(RIMS), Kenta Okazaki(RIMS), Tatsuro Shimizu(RIMS)