​Yatir Halevi: ​​Generically Stable Varieties and Groups in ACVF

BGU Seminar in Logic, Set Theory and Topology.

 

Please note that since the new department website went up, the seminar schedule is updated in advance at the department website.
BGU Seminar in Logic, Set Theory and Topology.
Time: Tuesday, April 12th, 12:30-13:45.

Place: Seminar room -101, Math building 58.
Speaker:​Yatir Halevi (HUJI).

Title:​​ Generically Stable Varieties and Groups in ACVF

Abstract:
Generically stable groups and more specifically algebraic groups with generically stable generics were studied by Hrushovski in “Valued fields, Metastable Groups”. We’ll talk about a class of group schemes over the valuation ring definable in ACVF and show that they are generically stable. In fact, we define a functor between the category of algebraic varieties with a Zariski dense generically stable type concentrated on it to generically stable definable schemes over the valuation ring. If everything is over a model, algebraic groups get sent to group schemes. If time permits we may say a few words about strongly stably dominated types.​

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