Department of

# Mathematics

Seminar Calendar
for events the day of Friday, March 30, 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, March 30, 2018

12:00 pm in 443 Altgeld Hall,Friday, March 30, 2018

#### Bi-Lipschitz reflections of the plane

###### Terry Harris (UIUC Math)

Abstract: I will talk about a problem concerning the differentiability of a class of bi-Lipschitz reflections of the plane, which is still open.

4:00 pm in 345 Altgeld Hall,Friday, March 30, 2018

#### Dp-minimal expansions of $(\mathbb{Q},<,+)$

###### Erik Walsberg (Illinois Math)

Abstract: I will use P. Simon's result to relate dp-minimal expansions of $(\mathbb{Q},<,+)$ to o-minimal expansions of $(\mathbb{R},<,+)$, I will also describe a nice application of the Pettis lemma to o-minimality.

4:00 pm in 241 Altgeld Hall,Friday, March 30, 2018

#### Optimizing mesh quality

###### Sarah Mousley (UIUC)

Abstract: I will talk about a project in computational geometry I worked on during a summer internship at Sandia National Lab. Our work builds on that of Mullen et al., who introduced a new energy function for meshes (triangulations) and an algorithm for finding low energy meshes. The energy is a measure of the mesh’s quality for usage in Discrete Exterior Calculus (DEC), a method for numerically solving PDEs. In DEC, the PDE domain is triangulated and this mesh is used to obtain discrete approximations of the continuous operators in the PDE. While the motivation for this work is to obtain better solutions to PDEs, do not be turned off. I didn't solve a single PDE all summer. This is a geometry talk.