Department of

Mathematics


Seminar Calendar
for events the day of Wednesday, April 10, 2019.

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Questions regarding events or the calendar should be directed to Tori Corkery.
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Wednesday, April 10, 2019

3:00 pm in 341 Altgeld Hall,Wednesday, April 10, 2019

Coloring Borel graphs equitably

Anton Bernshteyn (Carnegie Mellon)

Abstract: In this talk I will describe some of the main ideals and tools behind the proofs of the results surveyed in my talk in the Combinatorics and Graph Theory Seminar yesterday (based on joint work with Clinton Conley).

3:00 pm in 2 Illini Hall,Wednesday, April 10, 2019

Intersection Theory III - Chern classes of vector bundles

Nachiketa Adhikari (Illinois Math)

Abstract: In this talk, based on chapter 3 of Fulton's "Intersection Theory", I will introduce Segre classes and Chern classes, and outline some of their basic properties. I will also discuss a few interesting examples and special cases.

3:00 pm in 243 Altgeld Hall,Wednesday, April 10, 2019

To Be Announced

Danielle Sass (University of Illinois, Statistics)

4:00 pm in 245 Altgeld Hall,Wednesday, April 10, 2019

Recent progress on existence of minimal surfaces

André Neves (University of Chicago)

Abstract: A long standing problem in geometry, conjectured by Yau in 1982, is that any any $3$-manifold admits an infinite number of distinct minimal surfaces. The analogous problem for geodesics on surfaces led to the discovery of deep interactions between dynamics, topology, and analysis. The last couple of years brought dramatic developments to Yau’s conjecture, which has now been settled due to the work of Marques-Neves and Song. In the first talk I will survey the history of the problem and the several contributions made. In the second talk I will talk about the Weyl law for the volume spectrum (Marques-Neves-Liokumovich) and how it can be used to prove denseness and equidistribution of minimal surfaces in the generic case (Irie-Marques-Neves and Marques-Neves-Song). In the third talk I will survey the recent breakthroughs due to Song, Zhou, and Mantoulidis-Chodosh.

Bio Note: André Neves is a leading figure in geometric analysis with important contributions ranging from the Yamabe problem to geometric flows. Jointly with Fernando Marques, he transformed the field by introducing new ideas and techniques that led to the solution of several open problems which were previously out of reach. Together or with coauthors, they solved the Willmore conjecture, the Freedman-He-Wang conjecture in knot theory and Yau’s conjecture on the existence of minimal surfaces in the generic case.

Neves received his PhD from Stanford University in 2005 under the supervision of Richard Schoen. He was a postdoctoral fellow and assistant professor at Princeton University, before joining the Imperial College of London in 2011, where he became a full professor. He joined the faculty of the University of Chicago in 2016. Among his many awards and recognitions, Neves was awarded the Philip Leverhulme Prize in 2012, the LMS Whitehead Prize in 2013, he was invited speaker at ICM in Seoul in 2014, received a New Horizons in Mathematics Prize in 2015, and the 2016 Oswald Veblen Prize in Geometry. In 2018, he received a Simons Investigator Award.