Department of

Mathematics


Seminar Calendar
for AWM Graduate Student Colloquium events the year of Friday, December 7, 2018.

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More information on this calendar program is available.
Questions regarding events or the calendar should be directed to Tori Corkery.
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Wednesday, September 5, 2018

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.

Wednesday, October 3, 2018

4:00 pm in 245 Altgeld Hall,Wednesday, October 3, 2018

Connecting the upper half plane, geodesic flows, and continued fractions

Claire Merriman (UIUC Math)

Abstract: Continued fractions are frequently studied in number theory, but they can also be described geometrically. I will talk about continued fraction expansions as dynamical systems, and connect this symbolic system to tessellations. The first part will focus on the "regular" or "simple" continued fractions, where all of the numerators are 1. Then, I will show what happens when all of the numerators are $\pm 1$ and the denominators are all even or all odd.

Wednesday, October 31, 2018

4:00 pm in 245 Altgeld Hall,Wednesday, October 31, 2018

Basics of Coding Theory and Some Applications

Xiao Li (UIUC Math)

Abstract: In this talk I will be presenting some basics of coding theory and some applications to error correcting code. I will then focus on algebraic coding theory and give some examples with interesting algebraic and combinatorial properties. If time permits, I will give some applications in distributed storage.

Wednesday, December 5, 2018

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

Orders of infinities: asymptotic valued differential fields

Nigel Pynn-Coates (UIUC Math)

Abstract: Asymptotic valued differential fields go back to work of Hardy and are motivated by comparing the asymptotic behaviour of solutions to differential equations. I will introduce valued differential fields and discuss some of this history. We will see how versions of l’Hôpital’s Rule show up as key properties in the subject. Along the way, I will draw some pictures to illustrate the topology of valued fields. Time permitting, I may mention some of my results or ongoing work.