[Turkmath:5990] Julia Plavnik is the speaker of FGC-Higher Structures Seminars on Feb. 28, 2023 at 18:00

[kazimilhan.ikeda]

Dear friends,

This week our speaker is Julia Yael Plavnik from Indiana 
University-Bloomington, and the
details of her talk are as follows:

Speaker: Julia Yael Plavnik (Indiana Univ. Bloomington)
Date February 28, 2023, Tuesday at 18:00 (NOTE THE UNUSUAL TIME!!!)
Title: On the classification of modular categories.

Abstract:
Modular categories are intricate organizing algebraic structures 
appearing in a variety of mathematical subjects including topological 
quantum field theory, conformal field theory, representation theory of 
quantum groups, von Neumann algebras, and vertex operator algebras. They 
are fusion categories with additional braiding and pivotal structures 
satisfying a non- degeneracy condition. The problem of classifying 
modular categories is motivated by applications to topological quantum 
computation as algebraic models for topological phases of matter.

In this talk, we will start by introducing some of the basic definitions 
and properties of fusion, braided, and modular categories, and we will 
also give some concrete examples to have a better understanding of their 
structures. I will give an overview of the current situation of the 
classification program for modular categories, with a particular focus 
on the results for odd-dimensional modular categories, and we will 
mention some open directions in this field.


Zoom link details: TBA.

Best Regards,
K. Ilhan Ikeda
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