Department of

# Mathematics

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

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events for the
events containing

Questions regarding events or the calendar should be directed to Tori Corkery.
    November 2018          December 2018           January 2019
Su Mo Tu We Th Fr Sa   Su Mo Tu We Th Fr Sa   Su Mo Tu We Th Fr Sa
1  2  3                      1          1  2  3  4  5
4  5  6  7  8  9 10    2  3  4  5  6  7  8    6  7  8  9 10 11 12
11 12 13 14 15 16 17    9 10 11 12 13 14 15   13 14 15 16 17 18 19
18 19 20 21 22 23 24   16 17 18 19 20 21 22   20 21 22 23 24 25 26
25 26 27 28 29 30      23 24 25 26 27 28 29   27 28 29 30 31
30 31


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

Abstract: TBA