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UID:2019082306221420190830T15000020190830T1550005d602ed663802@uic.edu
CATEGORIES:MEETING
STATUS:TENTATIVE
DTSTAMP:20190823T114733
DTSTART:20190830T150000
DTEND:20190830T155000
SUMMARY:Departmental Colloquium: Braids, polynomials and Hilbert's 13th problem, by Jesse Wolfson
DESCRIPTION:Jesse Wolfson (University of California Irvine): Braids, polynomials and Hilbert's 13th problem There are still completely open fundamental questions about polynomials in one variable. One example is Hilbert's 13th Problem, a conjecture going back long before Hilbert. Indeed, the invention of algebraic topology grew out of an effort to understand how the roots of a polynomial depend on the coefficients. The goal of this talk is to explain part of the circle of ideas surrounding these questions. Along the way, we will encounter some beautiful classical objects - the space of monic, degree d square-free polynomials, algebraic functions, lines on cubic surfaces, level structures on Jacobians, braid groups, Galois groups, and configuration spaces - all intimately related to each other, all with mysteries still to reveal. Please click here to make changes to, or delete, this seminar announcement.
LOCATION:636 SEO Chicago IL
CLASS:PRIVATE
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