[geometry-ml:03838] MS seminar at Kavli IPMU -- T. Arakawa and T. Dimofte

[Todor Milanov]

Dear all,

I would like to announce the following two MS seminars at Kavli IPMU. I am sorry for the short notice for the first talk.

1) Speaker:	Tomoyuki Arakawa (RIMS, Kyoto)
Date:	Thu, Sep 26, 2019, 15:30 - 17:00
Place:	Seminar Room A

Title:	4D/2D duality and representation theory

Abstract: The 4D/2D duality discovered by Beem et. al associates a vertex operator algebra (VOA) to any 4D N=2 SCFT. The corresponding VOA not only gives the Schur index of the 4D theory as its character but is also expected to recover the Higgs branch as its associated variety. In this talk I will discuss the recent development of the representation theory of VOAs in view of the 4D/2D duality.

2) Speaker:	Tudor Dimofte (UC Davis)
Date:	Tue, Oct 15, 2019, 13:15 - 14:45
Place:	Seminar Room A

Title:	Categories of line operators in 3D N=4 theories

Abstract: 3D N=4 gauge theories (with linear, polarizable matter) can be labeled by a complex reductive group G and a complex-linear representation R. Physical observables associated to this data produce interesting algebraic and geometric objects. Classic examples include the Higgs branch of vacua (which is the complex symplectic quotient T*R//G) and the Coulomb branch (which was recently given a mathematical definition by Braverman-Finkelberg-Nakajima). At one categorical level higher, physics predicts the existence of two braided monoidal categories of "line operators," roughly corresponding to sheaves on the Higgs and Coulomb branches. I will use a physical analysis to develop some aspects of these categories, and then propose mathematical definitions for them. Given time, I'll discuss categorical equivalences predicted by 3d mirror symmetry, and some applications to knot homology.
(Joint work with N. Garner, M. Geracie, J. Hilburn, and related to work of J. Hilburn and P. Yoo.)

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Todor Eliseev Milanov
Associate Professor 
Kavli IPMU,  Japan

todor.milanov ＠ ipmu.jp