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Let M be a hyperbolic 3-manifold. We say a sequence of distinct (non-commensurable) essential closed surfaces in M is asymptotically geodesic if their principal curvatures go uniformly to zero. When M is closed, these sequences exist abundantly by the Kahn-Markovic surface subgroup theorem, and we will discuss the fact that such surfaces are always asymptotically dense, even though they do not always equidistribute. We will also talk about the fact that such sequences do not exist when M has infinite volume and is geometrically finite. Finally, we will discuss some partial answers to the question: does the existence of asymptotically geodesic surfaces in a negatively-curved 3-manifold imply the manifold is hyperbolic? This is joint work with Ben Lowe.

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In this talk, I will compare a variety of contracting properties of group elements. Groups with contracting elements include word/relative/hierachically/acylindrically hyperbolic groups. I will describe the dynamics of generic elements of such groups. If time allows, I will explain how contracting property of group elements help understand the horospherical dynamics. The latter part is joint work with Dongryul M. Kim.

Yair Minsky has generously agreed to give us an introduction to the hierarchy structure in the mapping class group.

Construction of countable coding for the geodesic flow on geometrically finite hyperbolic manifolds with cusps.

Abstract: Let $Gamma$ be a geometrically finite subgroup of $SO(n,1)$ with cusps. I will explain the construction of a countable coding of the geodesic flow on the unit tangent bundle $T^1(Gamma\ H^n)$. The problem can first be reduced to coding the dynamics on the limit set on the boundary. I will then explain a way to obtain a coding on the limit set and how to verify that this coding has a desired exponential tail property.

The census of orientable cusped hyperbolic 3-manifolds, like the census of knots, enumerates all orientable cusped finite-volume hyperbolic 3-manifolds. Just as the census of knots is arranged by the minimal number of crossings in planar diagrams of knots, the census of orientable cusped hyperbolic 3-manifolds is typically arranged by the minimal number of tetrahedra in triangulations of 3-manifolds. The most widely used “SnapPea census” of orientable cusped hyperbolic 3-manifolds was created in 1989 and continuously expanded afterwards, while its completeness was left undetermined until 2014, when Burton expanded the census to 9 tetrahedra and proved that it is complete without repetition using algebraic tools. In this talk, I will talk about the expansion of the census to 10 and 11 tetrahedra using a more recently developed tool, the verified canonical triangulation, and various applications of the new censuses, including the precisely 439,898 and 1,340,930 exceptional Dehn fillings on them, the next 1849 and 4673 simplest hyperbolic knot exteriors in the 3-sphere, and the first three simplest examples of orientable cusped hyperbolic 3-manifolds containing a closed totally geodesic surface.

Based on your feedback, the date of the upcoming brunch potluck is Saturday, February 21, 2026. Thank you so much for your prompt review and responses.

Time: 10:00 - 11:30am 

Venue: Cedar Rose Park-  1300 Rose Street, Berkeley CA 94702 (Area #1- On the Rose Street side of the park (Northside) just off of the sidewalk, and across form the play structure. 

Potluck: Please bring a brunch themed dish for 4-6 people. SLMath will provide water, beverages, paper and plastic wares. 

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This seminar series will take place on UC Berkeley campus, in Evans Hall room 939.

This seminar series will take place on UC Berkeley campus, in Evans Hall room 740.

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Mladen Bestvina has kindly agreed to give us an introduction to projection complex machinery.

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This seminar series will take place on UC Berkeley campus, in Evans Hall room 939.

This seminar series will take place on UC Berkeley campus, in Evans Hall room 740.

Zoom Link

Zoom Link

Zoom Link

Zoom Link

This seminar series will take place on UC Berkeley campus, in Evans Hall room 939.

This seminar series will take place on UC Berkeley campus, in Evans Hall room 740.

Zoom Link

Zoom Link

Zoom Link

This seminar series will take place on UC Berkeley campus, in Evans Hall room 939.

This seminar series will take place on UC Berkeley campus, in Evans Hall room 740.

Zoom Link

Zoom Link

This seminar series will take place on UC Berkeley campus, in Evans Hall room 939.

Zoom Link

This seminar series will take place on UC Berkeley campus, in Evans Hall room 939.

This seminar series will take place on UC Berkeley campus, in Evans Hall room 740.

Zoom Link

Zoom Link

This seminar series will take place on UC Berkeley campus, in Evans Hall room 939.

This seminar series will take place on UC Berkeley campus, in Evans Hall room 740.

Zoom Link

Zoom Link

This seminar series will take place on UC Berkeley campus, in Evans Hall room 939.

This seminar series will take place on UC Berkeley campus, in Evans Hall room 740.

Zoom Link

Zoom Link

This seminar series will take place on UC Berkeley campus, in Evans Hall room 939.

This seminar series will take place on UC Berkeley campus, in Evans Hall room 740.

Zoom Link

This seminar series will take place on UC Berkeley campus, in Evans Hall room 939.

This seminar series will take place on UC Berkeley campus, in Evans Hall room 740.

Zoom Link

Zoom Link

This seminar series will take place on UC Berkeley campus, in Evans Hall room 939.

This seminar series will take place on UC Berkeley campus, in Evans Hall room 740.

Zoom Link

Zoom Link

Zoom Link

This seminar series will take place on UC Berkeley campus, in Evans Hall room 939.

This seminar series will take place on UC Berkeley campus, in Evans Hall room 740.

Zoom Link

Zoom Link

This seminar series will take place on UC Berkeley campus, in Evans Hall room 740.