November 16, 2024 at Yale University

GATSBY is a conference organized by the geometry/topology groups at Brown and Yale. 

All are welcome! Please register. 

Schedule 

10-11:30 Reception (8th floor Kline Tower)

11:30-12:30  Background talk (Kline Tower 219)

12:30-2 Lunch (catered, 8th floor Kline Tower)

2-2:45 Lightning talks (Kline Tower 219)

2:45-3:15 Break

3:15-4:15 Research talk (Kline Tower 219)

4:15 Informal discussion followed by dinner for those interested

Abstracts 

• Principal speaker

Background Talk: 

Ends of hyperbolic 3-manifolds

We will describe the geometric classification of ends of hyperbolic 3-manifolds with finitely generated fundamental group, as well as some pertinent attributes of their deformation theory.

Research Talk: 

Iteration in Schottky space

Let H be a handlebody with boundary S. The Ahlfors-Bers parametrization says that the Teichmuller space T(S) parametrizes the convex cocompact hyperbolic structures on int(H). Write this parametrization as X -> Q(X). Given a self-homeomorphism f : S -> S, we describe how the sequence of hyperbolic structures Q(f^n(X)) on int(H) degenerates as n goes to infinity, by analyzing its geometric limits. This is a compressible version of Jeff Brock’s thesis, and is joint work with Cyril Lecuire.

• Lightning talks

Arianna Zikos (Wesleyan): Minimal volume entropy in dimension one

Matthew Zevenbergen (BC): Connectivity in the space of pointed hyperbolic 3-manifolds

Trent Lucas (Brown): Homeomorphisms, isotopy, and group actions

Joaquín Lema (BC): Epstein surfaces in higher Teichmüller theory

Ethan Dlugie (Bown): A crazy theorem of Coxeter

Dongryul Kim (Yale): Rigidity of Kleinian groups via higher-rank dynamics

Local information

Locations below have free parking during the weekend.

Organizers:  Tam Cheetham-West, Ethan Dlugie, Yair Minsky, Eduardo Reyes, Bena Tshishiku, Tianqi Wang

Previous iterations: Spring 2024, Fall 2023, Spring 2023, Fall 2022, Spring 2019, Fall 2015, Spring  2015, Fall 2014, Spring 2014, Fall 2013,  Spring 2013, Spring 2012