[Turkmath:5990] Julia Plavnik is the speaker of FGC-Higher Structures Seminars on Feb. 28, 2023 at 18:00
kazimilhan.ikeda
kazimilhan.ikeda at boun.edu.tr
Thu Feb 23 18:36:12 UTC 2023
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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