Department of

Mathematics


Seminar Calendar
for events the day of Friday, September 18, 2020.

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Friday, September 18, 2020

1:00 pm in Zoom,Friday, September 18, 2020

Positive Commutators, Propagation of Singularities, and trapping

Hadrian Quan   [email] (UIUC Math)

Abstract: In this talk I’ll describe the method of positive commutators, which is a flexible technique (=works on a manifold) for proving estimates about solutions of linear PDEs. Positive commutator estimates are useful for proving results about hyperbolic equations like the wave equation, or more generally any equations which involve a “flow”, by relating properties of solutions to the trajectories of an associated classical dynamical system. In particular they can give quantitative meaning to mysterious statements like “solutions of the wave equation propagate along light-cones.”

4:00 pm in Zoom,Friday, September 18, 2020

Floer theory and low-dimensional topology

Nachiketa Adhikari (UIUC)

Abstract: This talk will be an introduction to Floer theory and the key ideas behind it. If time permits, I will also sketch its connections to low-dimensional topology and, in particular, knots. Please email Brannon at basilio3 AT illinois DOT edu for the Zoom details.