Wesleyan Dynamics and Analysis (DnA) Seminar
Tuesdays at 12:00p in Exley 6??
Organizers: Ilesanmi Adeboye, Dave Constantine, Adam Fieldsteel, Han Li, Felipe Ramírez
Fall 2018
Date  Speaker  Title and Abstract 

Sept 4  No meeting (faculty meeting) 

Sept 11  Dave Constantine Wes 
What is a dynamical zeta function?
Sometimes, when one has very smart coauthors, certain theorems appear in one's papers which one has apparently helped prove, but which one does not understand. Sometimes, these statements say things about zeta functions. Being but a humble geometer and dynamicist, sometimes one feels a certain embarrassment having one's name attached to such august mathematical objects. In such a situation, one sometimes feels compelled to try to understand these objects and why they are being used to study dynamics. On a completely unrelated note, in this talk I'll give a survey of a number of different types of zeta functions which are defined in analogy with numbertheoretic zeta functions, and which can all be cast in a common framework as dynamical zeta functions. I'll discuss what these functions are, what properties we want them to have, and what sort of statements these properties imply. I'll discuss zeta functions for graphs, hyperbolic manifolds, and general dynamical systems, and even note an application involving knot theory. 
Sept 18  

Sept 25  

Oct 2  

Oct 9  

Oct 16  No meeting (faculty meeting) 

Oct 23  

Oct 30  

Nov 6  

Nov 13  No meeting (faculty meeting) 

Nov 20 
 
Nov 27  

Dec 4  No meeting (faculty meeting) 

Spring 2019
Date  Speaker  Title and Abstract 

Jan 22  Asaf Katz University of Chicago 
Quantitative disjointness of nilflows and horospherical flows
In his influential disjointness paper, H. Furstenberg proved that weaklymixing systems are disjoint from irrational rotations (and in general, Kronecker systems), a result that inspired much of the modern research in dynamics. Recently, A. Venkatesh managed to prove a quantitative version of this disjointness theorem for the case of the horocyclic flow on a compact Riemann surface. I will discuss Venkatesh's disjointness result and present a generalization of this result to more general actions of nilpotent groups, utilizing structural results about nilflows proven by GreenTaoZiegler. If time permits, I will discuss certain applications of such theorems in sparse equidistribution problems and number theory. 
Jan 29  

Feb 5  Andrew Zimmer Louisiana State University 
Regularity of limit sets of Anosov representations
Projective Anosov representations are representations of word hyperbolic groups into SL_d(R) with certain dynamical properties. Under some irreducibility conditions, we give necessary and sufficient conditions for when the limit set of such a representation is a C^{1,a} submanifold of projective space. This is joint work with T. Zhang. 
Feb 12  No meeting (faculty meeting) 

Feb 19  

Feb 26  

Mar 5  No meeting (faculty meeting) 

Mar 12  No meeting (Spring Break) 

Mar 19  No meeting (Spring Break) 

Mar 26  

Apr 2  

Apr 9  

Apr 16  No meeting (faculty meeting) 

Apr 23  

Apr 30  

May 7  
