—  Mathematics & Statistics

Algebra and Combinatorics Seminar, Spring 2016

Wednesdays 4-5. Location TBA

Webpages from previous semesters
Webpage for next semester

Organizers:  Aaron Lauve, Peter Tingley


February
3
No talk
10
Organizational meeting
(at Ireland's pub)
17
Asilata Bapat (U. of Chicago)
The Bernstein-Sato polynomial and the Strong Monodromy Conjecture
24
Travis Scrimshaw (Minnesota)
Star crystal structure on rigged configurations
March
2 Seckin Adali (UIC)
9
No talk (spring break)
16

23
Vasily Dolgushev (Temple)
A manifestation of the Grothendieck-Teichmueller group in geometry
30

April
6
13

20

27


Directions

IES (the institute for environmental sustainability) is located at the corner of W. Sheridan and N. Kenmore Avenues, Chicago, IL (map)

Parking is available on-campus for $7 in the Parking Garage (building P1 on the Lake shore campus map). To get to the Parking Garage, enter campus at the corner of West Sheridan Road and North Kenmore Avenue.

Abstracts

Feb 17: Asilata Bapat, The Bernstein-Sato polynomial and the Strong Monodromy Conjecture

To a singularity of an algebraic hypersurface, one can associate an invariant called the Bernstein-Sato polynomial or the b-function. Although the b-function is important and interesting, it is usually difficult to compute. It is conjectured (Strong Monodromy Conjecture or SMC) that some roots of the b-function can be obtained from the poles of another singularity invariant, the topological zeta function. I will sketch the proof of the SMC for the case of Weyl hyperplane arrangements, via the "n/d conjecture" of Budur, Mustaţă, and Teitler. I will also describe some results towards computing the b-function of these arrangements, focusing on a special case (the Vandermonde determinant). This is joint work with Robin Walters.


Feb 24: Travis Scrimshaw. Star crystal structure on rigged configurations We describe the crystal structure and *-crystal structure on the crystal B(\infty) using rigged configurations. This is joint work with Ben Salisbury.


March 23: A manifestation of the Grothendieck-Teichmueller group in geometry Inspired by Grothendieck's lego-game, Vladimir Drinfeld introduced, in 1990, the Grothendieck-Teichmueller group GRT. This group has interesting links to the absolute Galois group of rationals, finite type invariants of tangles, deformation quantization and theory of motives. My talk will be devoted to the manifestation of GRT in the extended moduli of algebraic varieties, which was conjectured by Maxim Kontsevich in 1999. My talk is partially based on the joint paper with Chris Rogers and Thomas Willwacher which can be found here.