Department of

# Mathematics

Seminar Calendar
for events the day of Tuesday, April 24, 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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Tuesday, April 24, 2018

12:00 pm in 243 Altgeld Hall,Tuesday, April 24, 2018

#### Genus bounds in right-angled Artin groups

###### Jing Tao (University of Oklahoma)

Abstract: In this talk, I will describe an elementary and topological argument that gives bounds for the stable commutator lengths in right-angled Artin groups.

2:00 pm in 347 Altgeld Hall,Tuesday, April 24, 2018

#### Estimates of Dirichlet heat kernels for subordinate Brownian motions

###### Panki Kim (Seoul National University)

Abstract: In this talk, we discuss estimates of transition densities of subordinate Brownian motions in open subsets of Euclidean space. When open subsets are $C^{1,1}$ domain, we establish sharp two-sided estimates for the transition densities of a large class of killed subordinate Brownian motions whose scaling order is not necessarily strictly below 2. Our estimates are explicit and written in terms of the dimension, the Euclidean distance between two points, the distance to the boundary and the Laplace exponent of the corresponding subordinator only. We also establish boundary Harnack principle in $C^{1,1}$ open set with explicit decay rate. This is a joint with with Ante Mimica.

3:00 pm in 241 Altgeld Hall,Tuesday, April 24, 2018

#### Colorings of signed graphs - a short survey

###### Andre Raspaud (LaBRI, Bordeaux University)

Abstract: The signed graphs and the balanced signed graphs were introduced by Harary in 1953. But all the notions can be found in the book of König (Theorie der endlichen und unendlichen graphen 1935). An important, fundamental and prolific work on signed graphs was done by Zaslavsky in 1982. In this talk we are interested in coloring of signed graphs. We will give a short survey of the different existing definitions and the recent results on the corresponding chromatic numbers. We will also present new results obtained by using the DP-coloring.

4:00 pm in 1 Illini Hall,Tuesday, April 24, 2018

#### Moduli of Twisted Curve

###### Hao Sun (UIUC)

Abstract: I'll give an introductory talk about the twisted curves. Twisted curves are related to the study of r-spin Witten classes and r-spin geometry of the moduli space of curves.