Seminar Calendar
for events the day of Tuesday, March 14, 2017.

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Tuesday, March 14, 2017

Number Theory Seminar
11:00 am   in 241 Altgeld Hall,  Tuesday, March 14, 2017
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Submitted by sahlgren.
Sudhir Pujahari (Harish-Chandra Research Institute)
In the neighbourhood of Sato-Tate conjecture
Abstract: In this talk, we will see the distribution of gaps between eigenangles of Hecke operators acting on the space of cusp forms of weight $k$ and level $N$, spaces of Hilbert modular forms of weight $k = (k_1, k_2,\ldots , k_r)$ and space of primitive Maass forms of weight $0$. Moreover, we will see the following: Let $f_1$ and $f_2$ be two normalized Hecke eigenforms of weight $k_1$ and $k_2$ such that one of them is not of CM type. If the set of primes $\mathcal{P}$ such that the $p$-th coefficients of $f_1$ and $f_2$ matches has positive upper density, then $f_1$ is a Dirichlet character twist of $f_2$. The last part is a joint work with M. Ram Murty.

Geometry, Groups and Dynamics/GEAR Seminar
12:00 pm   in 243 Altgeld Hall,  Tuesday, March 14, 2017
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Submitted by clein.
Mark Sapir (Vanderbilt and Illinois Math)
Flat submaps in CAT(0) $(p,q)$-maps and maps with angles
Abstract: This is a joint work with A. Olshanskii. Let $p, q$ be positive integers with $1/p+1/q=1/2$. We prove that if a $(p,q)$-map $M$ does not contain flat submaps of radius $\ge r$, then its area does not exceed $c(r+1)n$ where $n$ is the perimeter of $M$ and $c$ is an absolute constant. Earlier Ivanov and Schupp proved an exponential bound in terms of $r$. We prove an estimate similar to Ivanov and Schupp for much more general ``maps with angles" which include, for example, van Kampen diagrams over the presentation of the Baumslag-Solitar group $BS(1,2)$ and many groups corresponding to $S$-machines. We also show that a $(p,q)$ map $M$ tessellating a plane ${\mathbb R}^2$ has path metric quasi-isometric to the Euclidean metric on the plane if and only if $M$ has only finitely many non-flat vertices and faces.

Logic Seminar
1:00 pm   in Altgeld Hall,  Tuesday, March 14, 2017
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Submitted by erikw.
James Freitag (UIC Math)
Model theory and Painleve equations
Abstract: We will discuss how to use model theory to prove some transcendence results for solutions of Painleve equations.

Probability Seminar
2:00 pm   in 347 Altgeld Hall,  Tuesday, March 14, 2017
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Submitted by wangjing.
Joseph Najnudel (University of Cincinnati)
On random multiplicative functions
Abstract: In this talk, we give a presentation of random multiplicative functions on the integers and their main properties. At the end of the talk, we state some results, proven in a preprint recently submitted, on the behaviour and the independence properties of such functions taken at consecutive integers.

Algebraic Geometry Seminar
3:00 pm   in 243 Altgeld Hall,  Tuesday, March 14, 2017
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Submitted by rtramel.
Junwu Tu (University of Missouri )
Categorical Gromov-Witten Invariants
Abstract: In this talk, following Costello and Kontsevich, we describe a construction of Gromov-Witten type invariants from cyclic A-infinity categories.

Graph Theory and Combinatorics Seminar
3:00 pm   in 241 Altgeld Hall,  Tuesday, March 14, 2017
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Submitted by molla.
Katherine Anders (The University of Texas at Tyler)
Rooted forests that avoid sets of permutations
Abstract: An unordered rooted labeled forest avoids the pattern $\pi\in\mathcal{S}_n$ if the sequence obtained from the labels along the path from the root to any vertex does not contain a subsequence that is in the same relative order as $\pi$. We enumerate several classes of forests that avoid certain sets of permutations, including the set of unimodal forests, via bijections with set partitions with certain properties. This is joint work with Kassie Archer.

Illinois Geometry Lab
5:00 pm   in 314 Altgeld Hall,  Tuesday, March 14, 2017
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Submitted by tyson.
IGL Midsemester Meeting
Abstract: IGL research groups will give short presentations on their work. Come see what has been going on in the IGL this semester!