Department of

# Mathematics

Seminar Calendar
for events the day of Wednesday, September 27, 2017.

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events for the
events containing

Questions regarding events or the calendar should be directed to Tori Corkery.
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Wednesday, September 27, 2017

3:00 pm in 243 Altgeld Hall,Wednesday, September 27, 2017

#### Applications of Mining Public Genome Data to Recover Statistical Trends using Geometric Combinatorics

###### Ruth Davidson (UIUC)

Abstract: Websites such as TreeBASE.org and datadryad.org provide public access to a wealth of genomic data released with peer-reviewed biological publications. Phylogenomics-the recovery of the common evolutionary history of a group of taxa from short gene samples recovered from long genomes-is a basic area of research that gives rise to many quantitative methods for mining data for evolutionary signals. In turn, myriad fields such as ecology, medicine, and linguistics consume these methods; thus improved methods have very broad scientific impact. We present a publication (joint work with MaLyn Lawhorn, Joseph Rusinko, and Noah Weber) that provides a baseline framework, built on geometric combinatorics, for studying statistical trends in genomic data. Further, we will outline future research directions that will (1) build on this framework to inform the development of new theory and methods for model-testing, and (2) improve the understanding of trends in phylogenomic data in the systematic biology, computer science, statistics, and mathematics communities.

4:00 pm in Altgeld Hall 141,Wednesday, September 27, 2017

#### Introduction to Higgs Bundles and Spectral Curves

###### Matej Penciak (Illinois Math)

Abstract: In this talk I will define Higgs bundles, and try to motivate them as "parametrized linear algebra". Along the way I will emphasize the spectral description of Higgs bundles. By the end, the hope is to define the Hitchin integrable system which plays a central role in algebraically integrable systems.

4:00 pm in 245 Altgeld Hall,Wednesday, September 27, 2017