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陈伟彦 博士：Topology and Arithmetic Statistics

本站小编 Free考研/2020-05-19


Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars
Speaker: 陈伟彦 博士，University of Minnesota
Inviter:
Title:
 Topology and Arithmetic Statistics
Time & Venue:
 2019.12.11 10:30-11:30 N226
Abstract:
 Topology studies the shape of spaces. Arithmetic statistics studies the behavior of random algebraic objects such as integers and polynomials. I will talk about a circle of ideas connecting these two seemingly unrelated areas. To illuminate the connection, I will focus on three concrete examples: (1) the Burau representation of the braid groups, (2) analytic number theory for effective 0-cycles on a variety, and (3) cohomology of the space of multivariate irreducible polynomials. These projects are parts of a broader research program, with contributions by topologists, algebraic geometers, and number theorists in the past decade, and lead to many future directions yet to be explored.

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