Colloquium: Danny Calegari

3:00–4:00 pm Eckhart Hall, Room 202

5734 S. University Ave.

Chicago, IL

60637

Some New Algebraic K(pi,1)s

Abstract:

Configuration spaces of unordered distinct points in C are extremely familiar and important examples of complex algebraic varieties that also happen to be K(pi,1)s (from which many interesting properties follow). Given how well-studied these examples are, it is rather astonishing (to me) that a very simple variation gives rise to a new infinite family of (algebraic surface) K(pi,1)s. We explain these examples and some interesting and tantalizing connections to braids, polynomials, and complex dynamics.

Event Type

Colloquia

Nov 10