Sponsored by the National Science Foundation and UConn Math Department, this annual event is aimed at a general math audience. It will bring leading experts in differential geometry to UConn.
The distinguished lectures this year will be given by Professor William Minicozzi (MIT) and Professor André Neves (University of Chicago). Some social events during the day include Geometry Café, a panel discussion with students and junior researchers in a casual atmosphere.
Students and researchers in math and related fields are all welcome to attend!
Friday, April 7th, 2017
1 PM Geometry Cafe
Monteith 3rd Floor Lounge
2 PM Reception
Monteith 2nd Floor Lounge
Lecture starts at 2:40 PM
Schenker Lecture Hall
Differentiability of the level set flow
Abstract: Many physical phenomena lead to track moving fronts whose speed depends on the curvature. The level set method has been tremendously successful for modeling these problems, but the solutions are typically only continuous. I will discuss work with Toby Colding where we show that the level set method for mean curvature flow has twice differentiable solutions. This result is optimal.
Weyl law for the Volume Spectrum
Abstract: The volume spectrum was introduced by Gromov in the 70’s. Recently, with Liokumovich and Marques, we proved a Weyl Law for the volume spectrum that was conjectured by Gromov.
I will talk about how a better understanding of the volume spectrum would help in answering some well known questions for minimal surfaces or volume of nodal sets.
Professor William Minicozzi received his Ph.D. from Stanford University in 1994. He has been awarded the Sloan Foundation Research Fellowship in 1998 and the AMS Veblen Prize (with Tobias Colding) in 2010. He gave an invited address at the 2006 International Congress of Mathematicians in Madrid, a London Mathematical Society Spitalfields Lecture in 2007, and an AMS invited address in Syracuse in 2010. Professor Minicozzi is an international leader in geometric analysis for his profound work with Colding on minimal surfaces and geometric flows. Their contribution led to the resolution of long-standing conjectures and initiated a wave of new results.
Professor André Neves received his PhD from Stanford University in 2005. He is a recipient of the Leverhulme Prize (2012), the Whitehead Prize of the London Mathematical Society (2013), the AMS Veblen Prize (with Fernando Codá Marques) in 2016, and the New Horizons in Mathematics Prize in 2016. He was an Invited Speaker at the International Congress of Mathematicians in 2014. Professor Neves has made outstanding contributions to several areas of differential geometry, including work on scalar curvature, geometric flows, and his solution with Codá Marques of the 50-year-old Willmore Conjecture.