Department of

# Mathematics

Seminar Calendar
for events the day of Tuesday, October 17, 2017.

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events for the
events containing

Questions regarding events or the calendar should be directed to Tori Corkery.
    September 2017          October 2017          November 2017
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1  2    1  2  3  4  5  6  7             1  2  3  4
3  4  5  6  7  8  9    8  9 10 11 12 13 14    5  6  7  8  9 10 11
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24 25 26 27 28 29 30   29 30 31               26 27 28 29 30



Tuesday, October 17, 2017

11:00 am in 345 Altgeld Hall,Tuesday, October 17, 2017

#### To Be Announced

###### Tasos Moulinos (UIC)

1:00 pm in 347 Altgeld Hall,Tuesday, October 17, 2017

#### On Singularity Formation in General Relativity

###### Xinliang An (U Toronto Math)

Abstract: In the process of gravitational collapse, singularities may form, which are either covered by trapped surfaces (black holes) or visible to faraway observers (naked singularities). In this talk, with three different approaches coming from hyperbolic PDE, quasilinear elliptic PDE and dynamical system, I will present results on four physical questions: i) Can “black holes” form dynamically in the vacuum? ii) To form a “black hole”, what is the least size of initial data? iii) Can we find the boundary of a “black hole” region? Can we show that a “black hole region” is emerging from a point? iv) For Einstein vacuum equations, could singularities other than black hole type form in gravitational collapse?

3:00 pm in 241 Altgeld Hall,Tuesday, October 17, 2017

#### TBA

###### Hemanshu Kaul (Illinois Institute of Technology)

3:00 pm in 243 Altgeld Hall,Tuesday, October 17, 2017