Department of

# Mathematics

Seminar Calendar
for events the day of Friday, April 13, 2018.

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events for the
events containing

Questions regarding events or the calendar should be directed to Tori Corkery.
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Friday, April 13, 2018

12:00 pm in 443 Altgeld Hall,Friday, April 13, 2018

#### Fractal solutions of dispersive PDE on the torus

###### George Shakan (UIUC Math)

Abstract: I will discuss cancellation in exponential sums and how this leads to bounds for the fractal dimension of solutions to certain PDE, the ultimate “square root cancellation” implying exact knowledge of the dimension. In Schrodinger's equation, I provide bounds for the fractal dimension of the graph of the solution when restricted to a line on the torus. This is joint work with Burak Erdogan. More information can be found on my blog at https://gshakan.wordpress.com/2018/03/05/844/

4:00 pm in 241 Altgeld Hall,Friday, April 13, 2018

#### What is group cohomology?

###### Elizabeth Tatum (UIUC)

Abstract: Group cohomology has many uses in algebra, topology, and number theory. In this talk, I will introduce group cohomology, give some basic examples, and discuss some applications to topology.