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College of Liberal Arts and Sciences | Mathematics

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October 30, 2018 | 2:00 p.m. - 3:00 p.m.
Category: Special Event
Location: Faculty/Administration #1140 | Map
656 W. Kirby
Detroit, MI 48202
Cost: Free

Speaker:  Luca Candelori, Assistant Professor, Wayne State University

TITLE: Modular categories and theta functions

ABSTRACT: In recent years modular categories have emerged as a unifying algebraic structure for different areas of mathematics and theoretical physics, such as quantum groups, vertex operator algebras, conformal field theory, topological quantum field theory and topological quantum computation. As an example, the (very special) family of ‘pointed’ modular categories already encodes the entire theory of the transformation laws of theta functions attached to positive-definite lattices, and more generally the theory of the Weil representation of any lattice. In this talk I will flesh out this connection, and I will deduce some properties of pointed modular categories from the algebraic theory of theta functions. I will then conclude with some speculations on how a theory of ‘non-abelian’ theta functions could similarly reveal important information about the structure of a general modular category. This is partly joint work with Richard Ng and Yilong Wang.  

For more information about this event, please contact Department of Mathematics at 3135772479 or math@wayne.edu.