Events for 09/07/2016 from all calendars
Number Theory Seminar
Time: 1:45PM - 2:45PM
Location: BLOC 220
Speaker: Yujiao Jiang , Shandong University
Title: Strong orthogonality between the Mobius function, additive characters and Fourier coefficients of GL(3) automorphic forms
Abstract: In this talk, I shall firstly review the progress of the M\"obius randomness law in analytic number theory. Then we present some recent results related to GL(3) automorphic forms. This is joint work with Hou and Lü.
URL: Event link
Noncommutative Geometry Seminar
Time: 2:00PM - 2:50PM
Location: BLOC 628
Speaker: Alexander Engel, Texas A&M University
Title: Burghelea conjecture
Abstract: In the first half of the talk we will quickly introduce the algebraic Baum-Connes conjecture and the Burghelea conjecture and discuss their relation. In the second half I will report about recent results on the Burghelea conjecture. This is joint work with Michal Marcinkowski.
Numerical Analysis Seminar
Time: 3:00PM - 4:00PM
Location: BLOC 627
Speaker: Peter Oswald
Title: TBA
Groups and Dynamics Seminar
Time: 3:00PM - 4:00PM
Location: BLOC 220
Speaker: Zoran Sunic, Texas A&M University
Title: Hanoi Towers Group I
Abstract: This will be the first in a series of talks devoted to the Hanoi Towers group H which models the famous XIX century game invented by the French mathematician Lucas (yes, the one from the Lucas sequence).
The group H is a finitely generated, self-similar group acting on a rooted ternary tree in such a way that the Schreier graph of the action on level N models the game played with N disks (the vertices represent the possible configurations and the group generators the possible moves). It can also be viewed as a finitely generated group of isometries of the Cantor set.
The group H has many interesting properties in its own right:
- It is the first first known example of a finitely generated branch group that maps onto the infinite dihedral group.
- It is amenable but not elementary amenable group.
- It is the iterated monodromy group of a post-critically finite rational map on the Riemann sphere.
- Its closure is finitely constrained (in the sense of symbolic dynamics on trees).
- Its Hausdorff dimension is irrational and its limit space is the well known Sierpiński gasket.
- It was the first example of a finitely generated branch group with nontrivial rigid kernel.
- Calculations involving finite dimensional permutational representations of H based on the self-similarity of the group lead to calculation of the spectra of the Sierpiński graphs.
- It has exponential growth.
- It contains a copy of every finite 3-group.
- The elements of the group may be described as finite automata.
- ...
Notable subgroups (Apollonian group, intertwined odometers groups), the higher Hanoi Towers groups (related to versions of the game with more than 3 pegs), and other variations will also be discussed.
First Year Graduate Student Seminar
Time: 5:30PM - 6:30PM
Location: BLOC 628
Speaker: David Manuel
Title: Grading and help session assignments.