Department of

# Mathematics

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

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More information on this calendar program is available.
Questions regarding events or the calendar should be directed to Tori Corkery.
     January 2016          February 2016            March 2016
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1  2       1  2  3  4  5  6          1  2  3  4  5
3  4  5  6  7  8  9    7  8  9 10 11 12 13    6  7  8  9 10 11 12
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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