Faculty Meeting
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Posted April 12, 2018

Last modified April 19, 2018

Meeting of Tenured Faculty

Algebra and Number Theory Seminar
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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
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Posted April 17, 2018

3:30 pm Lockett 277
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
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Posted January 30, 2018

3:30 pm - 4:20 pm TBD
Luis Silvestre, University of Chicago

TBD