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College of Liberal Arts and Sciences

Department of Mathematics

Past Colloquia

Speakers and Abstracts for Spring 2025

Wed Jan 15, 3pm, LIT 225, Gui-Qiang Chen, University of Oxford, Ulam Colloquium

Ulam Colloquium

Title: Partial Differential Equations of Mixed Type – Analysis and Applications

Abstract: Three of the fundamental types of partial differential equations (PDEs) are elliptic, hyperbolic, and parabolic, following the standard classification for linear PDEs. Linear theories of PDEs of these types have been considerably better developed. On the other hand, many nonlinear PDEs arising in Mathematics and Science are naturally of mixed type. The solution to several longstanding fundamental problems greatly requires a deep understanding of such nonlinear PDEs of mixed type, particularly those of mixed elliptic-hyperbolic type. Notable examples include the multidimensional Riemann problem (formulated by Riemann in 1860 for the one-dimensional case) and related shock reflection/diffraction problems in fluid dynamics (the compressible Euler equations), and the isometric embedding problem in differential geometry (the Gauss-Codazzi-Ricci equations), among others. In this talk, we will present some old and new underlying connections of nonlinear PDEs of mixed type with these longstanding fundamental problems, from the Riemann problem to the isometric embedding problem. We will then discuss some recent developments in the analysis of these nonlinear PDEs through examples with an emphasis on developing unified approaches, ideas, and techniques for addressing mixed-type problems. Some further developments, perspectives, and open problems in this direction will also be addressed.

Wed Jan 22, 3pm, LIT 225, Arnaud Marsiglietti, Louis Armand College

Title: Convexity techniques in probability theory

Abstract: In this talk we will discuss a few techniques involving the notion of convexity, which lead to a vast array of results in probability theory. The techniques can be used to develop concentration and deviation inequalities, and moment and entropy bounds, for a large class of random variables; to establish quantitative comparison between statistical distances; as well as to tackle certain problems arising in combinatorics that can be phrased in the language of probability.

Fri Jan 24, Zoom, Yaofeng Su, University of Rome 'Tor Vergata'

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Mon Jan 27, 3pm, LIT 225, Nikolaos Kolliopoulos, University of Michigan

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Fri Jan 31, 3pm, LIT 225, Shuangping Li, Stanford University

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Mon Feb 3, 3pm, Atrium, Zhaosheng Feng, University of Texas Rio Grande Valley, host Rong

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Schedule for Spring 2025

  • Wed Jan 15, 3pm, LIT 225, Gui-Qiang Chen, University of Oxford, Ulam Colloquium
  • Wed Jan 22, 3pm, LIT 225, Arnaud Marsiglietti, Louis Armand College
  • Fri Jan 24, Zoom, Yaofeng Su, University of Rome ‘Tor Vergata’
  • Mon Jan 27, 3pm, LIT 225, Nikolaos Kolliopoulos, University of Michigan
  • Fri Jan 31, 3pm, LIT 225, Shuangping Li, Stanford University
  • Mon Feb 3, 3pm, Atrium, Zhaosheng Feng, University of Texas Rio Grande Valley, host Rong
  • Mon Feb 10, 3pm, Atrium, Philip Engel, University of Illinois Chicago, host Booher
  • Mon Feb 17, 3pm, Atrium, Vitaly Ganusov, Texas Biomedical Research Institute, host Pilyugin
  • Mon Feb 24, 3pm, Atrium, Moon-Jin Kang, Korea Advanced Institute of Science and Technology, host Yu
  • Fri Feb 28, 3pm, Atrium, Keng Meng Ng, Nanyang Technological University, Singapore, South Eastern Logic Symposium
  • Mon Mar 3, 3pm, Atrium, David Gonzalez, University of California, Berkeley, South Eastern Logic Symposium
  • Wed Mar 5, 4:05pm, LIT 113, Jeffrey Lagarias, University of Michigan, Ramanujan Colloquium
  • Mon Mar 10, 3pm, Atrium, Dongbin Xiu, Ohio State University, host Wang
  • Mon Mar 31, 3pm, Atrium, William Keith, Michigan Technological University, host Berkovich
  • Mon Apr 7, 3pm, Atrium, Brendan Pawlowski, HRL Laboratories, host Hamaker
  • Mon Apr 14, 4:05pm, LIT 113, Frank Calegari, University of Chicago, Erdős Colloquium

Schedule for Fall 2024

  • Fri Sep 27, Gui-Qiang Chen, Postponed until Jan 15 (Hurricane Helene)
  • Mon Oct 7, 3pm, Atrium, Luis Sordo Vieira, University of Florida, host Park
  • Mon Oct 14, Dongbin Xiu, Postponed until Mar 10
  • Mon Nov 4, 3pm, Atrium, Chris Kapulkin, University of Western Ontario, host Bubenik
  • Wed Nov 13, 4:05pm, Atrium, Claus Kadelka, Iowa State University, host Stepien
  • Mon Nov 18, 3pm, Atrium, Colva Roney-Dougal, University of St Andrews, host Vatter
  • Mon Dec 2, 3pm, Atrium, Henry Chu, University of Florida

The schedules from the math department colloquia from past semesters are linked below.

Some recorded colloquium talks are available.