Department of

# Mathematics

Seminar Calendar
for events the day of Friday, December 4, 2020.

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events for the
events containing

More information on this calendar program is available.
Questions regarding events or the calendar should be directed to Tori Corkery.
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1  2  3  4  5  6  7          1  2  3  4  5                   1  2
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Friday, December 4, 2020

4:00 pm in Zoom,Friday, December 4, 2020

#### The Geometry of Modular Forms

###### Robert Dicks

Abstract: Modular forms are usually introduced as holomorphic functions on the upper-half plane satisfying certain transformation laws and growth conditions. It then would seem obvious that their "natural home" is in the realm of those topics most fruitfully studied using tools from complex analysis with only occasional interactions with other fields. The aim of this talk is to highlight how one can view modular forms from a geometric viewpoint. In particular, the speaker will start with motivation from the classical theory of modular forms, take a detour into the basics of scheme theory (his notion of what "geometry" is), and then discuss how modular forms can be viewed as line bundles on certain schemes and whatever comes from that.

4:00 pm in Zoom,Friday, December 4, 2020

#### Opportunities in the Illinois Geometry Lab

###### Alexi Block Gorman (UIUC)

Abstract: Ever wonder what it means to do research in mathematics? Or are you interested in mathematical puzzles and pedagogy? Come learn about research and outreach opportunities that the Illinois Geometry Lab (IGL) provides for undergraduate students. The research students do in the IGL is designed to be understood--and performed--by undergraduate participants. The topics for these projects range from very applied mathematics to highly theoretical. I will explain the IGL's application process, and offer some tips on how to write a successful application. I will also mention some of the community engagement opportunities we offer to get involved with math outreach through the IGL. All are welcome!