09:15 AM - 09:30 AM
|
|
Welcome to MSRI
|
- Location
- SLMath: Eisenbud Auditorium
- Video
-
--
- Abstract
- --
- Supplements
-
--
|
09:30 AM - 10:30 AM
|
|
Tethered curve complexes and homology stability
Karen Vogtmann (University of Warwick)
|
- Location
- SLMath: Eisenbud Auditorium
- Video
-
- Abstract
We study the topology of several variations of curve complexes, then use them to give a newly streamlined proof of homology stability for surface mapping class groups. This is joint work with Allen Hatcher.
- Supplements
-
|
10:30 AM - 11:00 AM
|
|
Break
|
- Location
- SLMath: Atrium
- Video
-
--
- Abstract
- --
- Supplements
-
--
|
11:00 AM - 12:00 PM
|
|
Counting finite-order lattice points in Teichmüller space
Spencer Dowdall (Vanderbilt University)
|
- Location
- SLMath: Eisenbud Auditorium
- Video
-
- Abstract
I will discuss a counting problem for the orbit of the mapping class group in Teichmüller space. Athreya, Bufetov, Eskin, and Mirzakhani have shown that the number of orbit points in a Teichmüller ball of radius R grows like e^{hR}, where h is the dimension of Teichmüller space. Maher has shown that pseudo-Anosov mapping classes are "generic" in the sense that the proportion of these points that are translates by pseudo-Anosovs tends to 1 as R tends to infinity. We aim to quantify this genericity by showing that the number of translates by finite-order and reducible elements have strictly smaller exponential growth rate. In particular, we find that the number of finite-order orbit points grows like e^{hR/2}. Joint work with Howard Masur.
- Supplements
-
|
12:00 PM - 02:00 PM
|
|
Lunch
|
- Location
- SLMath: Atrium
- Video
-
--
- Abstract
- --
- Supplements
-
--
|
02:00 PM - 03:00 PM
|
|
Word-hyperbolic surface bundles
Christopher Leininger (Rice University)
|
- Location
- SLMath: Atrium
- Video
-
- Abstract
The work of Farb-Mosher and Hamenstadt provides a necessary and sufficient condition for the fundamental group of a closed surface bundle over any compact space to be word-hyperbolic. The condition is geometric in nature, involving the monodromy homomorphism and the action on Teichmuller space. Gromov's hyperbolization question, in the special case of surface bundles, asks whether the condition on the action can be relaxed to a topological one. In this talk I will discuss this problem, and some joint work with Bestvina, Bromberg, and Kent providing results in this direction
- Supplements
-
|
03:00 PM - 03:30 PM
|
|
Tea
|
- Location
- SLMath: Eisenbud Auditorium
- Video
-
--
- Abstract
- --
- Supplements
-
--
|
03:30 PM - 04:30 PM
|
|
Dilatations of pseudo-Anosov mapping classes
Eriko Hironaka (Florida State University)
|
- Location
- SLMath: Eisenbud Auditorium
- Video
-
- Abstract
We discuss the minimum dilatation problem for pA mapping classes. What do small dilatation pA mapping classes look like, and what is the smallest normalized dilatation?
- Supplements
-
|
04:30 PM - 06:20 PM
|
|
Reception
|
- Location
- SLMath: Atrium
- Video
-
--
- Abstract
- --
- Supplements
-
--
|