Department of

Mathematics


Seminar Calendar
for events the day of Monday, February 29, 2016.

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Questions regarding events or the calendar should be directed to Tori Corkery.
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Monday, February 29, 2016

2:00 pm in 345 Altgeld Hall,Monday, February 29, 2016

Rigidity of solutions to PDE's with symmetries

Ioan Marcut (Radboud University Nijmegen)

Abstract: Many normal form results in differential geometry are a manifestation a rigidity phenomenon of the "structure in normal form". In this talk I will present a general local rigidity result for solutions to PDE's under the action of a closed pseudo-group of symmetries. The result is of the form: infinitesimal "tame" rigidity implies "tame" rigidity; it is in the smooth setting, and the proof uses the Nash-Moser fast convergence method. I will also discuss several classical normal form theorems in which the rigidity result applies. This is joint work with Roy Wang (PhD student at Utrecht University).

4:00 pm in 245 Altgeld Hall,Monday, February 29, 2016

Waves, Partial Differential Equations and Nonlinear Analysis

Eduard Kirr (Department of Mathematics, University of Illinois)

Abstract: I will start by a "gentle" introduction on how wave phenomena are modeled by certain partial differential equations. Then I will pick up the pace and summarize how powerful results in linear/nonlinear analysis can be used to shed some light on the formation and behavior of waves from the tame to the rogue ones.

5:00 pm in 241 Altgeld Hall,Monday, February 29, 2016

Perturbations of the Heisenberg commutation relation (after Haagerup and Rordam)

Christopher Linden (UIUC Math)