Department of

# Mathematics

Seminar Calendar
for events the day of Wednesday, September 5, 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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30


Wednesday, September 5, 2018

4:00 pm in 2 Illini Hall,Wednesday, September 5, 2018

#### (Crystalline) differential operators in positive characteristic

###### Shiyu Shen (UIUC Math)

Abstract: I will talk about several features of (Crystalline) differential operators in characteristic $p$, including the Azumaya property and two theorems by Cartier.

4:00 pm in 245 Altgeld Hall,Wednesday, September 5, 2018

#### 65 Years of Orthogonal Projections

###### Fernando Yahdiel Roman-Garcia (UIUC Math)

Abstract: In 1954 John Marstrand published a paper where he related the Hausdorff dimension of a planar set to the Hausdorff dimension of its orthogonal projections. This paper motivated so much work in subsequent years that the topic of “projection theorems” developed into its own subfield of metric geometry. Over 60 years later this continues to be a thriving area of research with many modern adaptations of the original problem solved by Marstrand. In this talk I will give an overview of many different results obtained over the years, including some of my ongoing work on intersections of horizontal projections on the Heisenberg group.