[Binghamton Geometry Topology Seminar] Geometry and Topology seminar: John Rached

[Cary Malkiewich]

Hi everyone,

Sorry, I missed an important email this morning. Our speaker is ill and his
talk will postponed to a future week. There will be no geometry/topology
seminar today. See you in the seminar next week!

Cary

On Thu, Sep 7, 2023 at 11:58 AM Cary Malkiewich <
malkiewich at math.binghamton.edu> wrote:

> Hi everyone,
>
> A quick reminder about the geometry/topology lunch today (meet outside
> WH100E) and John's talk in the seminar today at 2:50pm. See you there!
>
> Cary
>
> On Tue, Sep 5, 2023 at 9:59 AM Cary Malkiewich <
> malkiewich at math.binghamton.edu> wrote:
>
>> Hi everyone,
>>
>> This week we are pleased to have our very own John Rached speaking about
>> dynamics on the moduli space of surfaces, title and abstract below. This
>> will be an in person talk, on Thursday at 2:50pm in WH 100E.
>>
>> We will also have a lunch social, meet at 12pm just outside WH100E. See
>> you there!
>>
>> Best,
>> Cary
>>
>> %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
>> *Title:* Quantitative behavior of horocycle flow on the moduli space of
>> genus 2 surfaces
>> *Abstract:* The action of SL(2,R) on moduli space exhibits measure
>> rigidity, analogously to Ratner’s theorems for unipotent flows on
>> homogeneous spaces, due to the seminal work of Eskin-Mirzakhani. Similar
>> results cannot hold for the horocycle flow on moduli space, but for special
>> subvarieties of strata (eigenform loci), some key tools from homogeneous
>> dynamics have an incarnation in this inhomogeneous setting. A version of
>> Ratner’s theorem holds for eigenform loci, and a flurry of recent work on
>> quantitative results for actions on homogeneous spaces begs a natural
>> question - can one effectivize arguments for the horocycle flow on
>> eigenform loci? We give some support for a positive answer to this
>> question, and make some conjectures.
>>
>
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