Department of

# Mathematics

Seminar Calendar
for events the day of Friday, November 11, 2005.

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events for the
events containing

Questions regarding events or the calendar should be directed to Tori Corkery.
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Friday, November 11, 2005

4:00 pm in 341 Altgeld Hall,Friday, November 11, 2005

#### Generalized amalgamation in first order theories and beyond

###### Alexei Kolesnikov (University of Michigan)

Abstract: Generalized amalgamation properties were introduced by Shelah in the (non-first order) context of classes of atomic models and were also used in the proof of the Main Gap theorem. In my thesis, I studied generalized type-amalgamation in the context of simple theories, what is now called n-simplicity. Initially the similarity between the type amalgamation (the simple case) and model-amalgamation (atomic case) was largely superficial, however the recent developments brought the two approaches closer together. My talk will have two parts. In the first, I will present the definitions of generalized amalgamation properties in the context of abstract elementary classes, and talk about some of the results of the joint work with Rami Grossberg on this topic. The second part will be devoted to n-simplicity.

4:00 pm in 159 Altgeld Hall,Friday, November 11, 2005

#### Introductory Bumponomics: Deformation Theory of hyperbolic 3- manifolds

###### Richard D. Canary (U. Michigan, Ann Arbor)

Abstract: We discuss recent results on the global topology of the space AH(M) of all (marked) hyperbolic 3-manifolds homotopy equivalent to a fixed compact 3-manifold with boundary. The interior of this space is a manifold whose components are enumerated by topological data and parameterized by natural analytical data. However, the global topology of the space itself turns out to be quite complicated.