Algebra Seminar
(Mon 3:30-4:30pm, Kap 265)

Organizer: Cris Negron

Topics include (but are not limited to):

Algebra, representation theory, algebraic and arithmetic geometry, homotopy theory, and mathematical physics.

Spring 2025

Date Location Speaker Abstract
Sept 8 Yifeng Huang (USC) Coh zeta functions for quadratic orders

Abstract: The Coh zeta function, a 1/|Aut|-weighted count of a ring's finite modules, is a basic invariant that unifies problems in enumerative algebra such as counting matrices and representations. While these zeta functions for (germs of) singular curves have revealed surprising connections to q-series, making precise predictions has remained challenging. This talk provides a unified picture for the known y2=xn singularities by re-interpreting them as quadratic orders: ramified for odd n and split for even n. This algebraic viewpoint reveals a crucial missing piece in the landscape---the inert quadratic orders---which is necessary to complete the picture (via quadratic twists), and is the focus of the new work.
Sept 15 Vesselin Dimitrov (CalTech)
Sept 22 Anton Kapustin (CalTech)
Sept 29
[organizer away]
Oct 6
[organizer away]
Oct 13 Davide Passaro (CalTech)
Oct 20
Oct 27
Nov 3 Sam Qunell (UCLA)
Nov 10 Mark Walker (U Nebraska)
Nov 17 Matt Young (Utah State)
Nov 24 pre-Holiday
Dec 1

Previous semester

Mailing list: Contact me if you want to be added to the seminar mailing list.

See our friends at the Geometry seminar (M 2:00 pm) and the Combinatorics seminar (W 2:00 pm).