Logic seminar: Ronnie Nagloo
| Dates: | 12 June 2024 |
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| Times: | 12:00 - 13:00 |
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| What is it: | Seminar |
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| Organiser: | Department of Mathematics |
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| Who is it for: | University staff, External researchers, Adults, Alumni, Current University students |
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Title: Model theory and Covering maps
Abstract: In this talk, we will look at the problem of describing the classification theoretic structure of the sets defined (in DCF) by the differential equations associated with covering maps as studied by Scanlon. Roughly speaking, for our context, a covering map is a function on a space that is invariant under the action of some group and as such, a function on the quotient space. The most studied examples of such maps are those associated to Shimura varieties (eg. the modular j-function) but we will not restrict to that context. After introducing the various objects, I will survey some of the new results in that area and describe some of the key tools used in my own work (joint with Blázquez-Sanz, Casale and Frietag) to attack this problem. Time-permitting, I will also explain the connections of these results to a general Ax-Schanuel type theorems for the covering maps.
Travel and Contact Information
Find event
G.114 (and zoom, link upon request)
Alan Turing Building
Manchester
