Department of

# Mathematics

Seminar Calendar
for events the day of Friday, September 15, 2017.

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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, September 15, 2017

8:00 am in Altgeld Hall,Friday, September 15, 2017

#### PhD Reunion

Abstract: The Department of Mathematics will hold a PhD reunion September 15-16, 2017. Visit the reunion webpage for more information http://www.math.illinois.edu/reunion/

12:00 pm in 243 Altgeld Hall,Friday, September 15, 2017

#### Fun with Heisenberg

###### Matt Romney (UIUC)

Abstract: This is an expository talk on a fascinating mathematical object, the Heisenberg group. It is the simplest example of what could be termed a "non-commutative vector space". Yet despite its simple definition, many basic questions about its geometry are still open. The Heisenberg group arises in a variety of mathematical contexts, most notably quantum mechanics and complex analysis of several variables. This talk will give a hands-on introduction to the Heisenberg group, and indicate some of its recent applications.

2:00 pm in 245 Altgeld Hall,Friday, September 15, 2017

#### Writing a Teaching Statement Panel

###### Rick Laugesen, Cara Monical, Ivan Contreras, Simone Sisneros-Thiry (Illinois Math)

Abstract: Your teaching philosophy represents your philosophical orientation to teaching and learning. It states your beliefs on how learning takes place and expresses the principles you use to guide your teaching in order to bring that learning to fruition. The goal of this panel is to provide a space for graduate students who are in the process of writing a teaching philosophy statement to ask questions to more experienced writers, faculty, and students in that have received a teaching award.

4:00 pm in 241 Altgeld Hall,Friday, September 15, 2017

#### From Groups to Metric Spaces: A brief introduction to coarse geometry

###### Marissa Loving (UIUC)

Abstract: In this talk we will explore the ways in which we can think of a group as a metric space and some of the notions of equivalence that can be developed to make this analogy precise. Our overarching goal will be to recognize some of the powerful tools coarse geometry makes available to us, from retrieving fine algebraic data from coarse geometric information to relating purely topological objects to purely algebraic ones. No special background will be needed as we will aim to define anything beyond what would typically be covered in Math 500.

4:00 pm in 345 Altgeld Hall,Friday, September 15, 2017

#### "Borel circle squaring" by Marks and Unger: Part 2

###### Dakota Ihli (Illinois Math)

Abstract: This is the second part in a series of talks based on a recent paper of A.S. Marks and S.T. Unger. The main result of the paper gives sufficient conditions for two Borel subsets of $\mathbb{R}^k$ to be equidecomposable by translations with Borel pieces. In the first part, flows on graphs were introduced as the primary means to prove this result. In this part I will outline in more detail how these flows are constructed.