Department of

Mathematics


Seminar Calendar
for events the day of Tuesday, December 4, 2018.

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Questions regarding events or the calendar should be directed to Tori Corkery.
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Tuesday, December 4, 2018

1:00 pm in 347 Altgeld Hall,Tuesday, December 4, 2018

Unconditional uniqueness for the derivative nonlinear Schrodinger equation

Razvan Mosincat (The University of Edinburgh)

Abstract: We consider the initial-value problem for the derivative nonlinear Schrödinger equation (DNLS) on the real line. We implement an infinite iteration of normal form reductions (namely, integration by parts in time) and reformulate a gauge-equivalent equation in terms of an infinite series of multilinear terms. This allows us to show the unconditional uniqueness of solutions to DNLS in an almost end-point space. This is joint work with Haewon Yoon (National Taiwan University).

1:00 pm in 345 Altgeld Hall,Tuesday, December 4, 2018

Solution of Christensen's problem on universally measurable homomorphisms

Christian Rosendal (UIC Math)

Abstract: Answering a longstanding problem originating in J.P.R. Christensen’s seminal work on Haar null sets, we show that a universally measurable homomorphism between Polish groups is continuous. Using our general analysis of continuity of group homomorphisms, this result is used to calibrate the strength of the existence of a discontinuous homomorphism between Polish groups. In particular, it is shown that, modulo ZF+DC, the existence of a discontinuous homomorphism between Polish groups implies that the Hamming graph on Cantor space has finite chromatic number.

2:00 pm in 345 Altgeld Hall,Tuesday, December 4, 2018

To Be Announced

Zachary Selk (Purdue University)

Abstract: TBA