Calendar

Faculty Meeting  Questions or comments?

Posted April 12, 2018
Last modified April 19, 2018

Meeting of Tenured Faculty

Algebra and Number Theory Seminar  Questions or comments?

Posted February 27, 2018
Last modified April 18, 2018

Soumya (Shom) Banerjee, Tulane University
Revisiting the Variety of Complete Quadrics

The variety of complete quadrics is a family of smooth projective variety that has a long and interesting history which rivals Grassmanninan variety and Flag varieties. However, surprisingly little is known about its geometric structure. In this talk, I will explain our attempts to understand the geometry of this variety in an explicit way. This is a joint work with Mahir Can and Mike Joyce.

Topology Seminar  Seminar website

Posted November 12, 2017
Last modified January 8, 2018

Miriam Kuzbary, Rice University
TBD

Combinatorics Seminar  Questions or comments?

Posted April 17, 2018

James Madden, Mathematics Department, LSU
A Generating Function for the Distribution of Runs in Binary Words

Let N(n,r,k) denote the number of binary words of length n that begin with 0 and contain exactly k runs (i.e., maximal subwords of identical consecutive symbols) of length r. We show that the generating function for the sequence N(n,r,0), n=0,1,..., is (1−x)(1−2x+x^r−x^{r+1})−1 and that the generating function for {N(n,r,k)} is x^{kr} time the k+1 power of this. We extend to counts of words containing exactly k runs of 1s by using symmetries on the set of binary words.

Colloquium  Questions or comments?

Posted January 30, 2018

Luis Silvestre, University of Chicago
TBD