A variation of Hodge structure gives a period map \Phi from the base to a flag variety; this period map is highly transcendental. For example, if Z is an algebraic subset of the flag variety, then the dimension of \Phi^{-1}(Z) is "explained by algebraic stuff". I will state a precise result along these lines (due to Bakker and Tsimerman), and discuss how some ideas from o-minimal geometry are used in the proof.
In the application to Diophantine problems, the result will be used to show that a certain bounding set for X(O_{K, S}), a priori only analytically non-dense, is in fact Zariski non-dense. Speaker(s): Brian Lawrence (University of Chicago)
In the application to Diophantine problems, the result will be used to show that a certain bounding set for X(O_{K, S}), a priori only analytically non-dense, is in fact Zariski non-dense. Speaker(s): Brian Lawrence (University of Chicago)
| Building: | East Hall |
|---|---|
| Event Type: | Workshop / Seminar |
| Tags: | Mathematics |
| Source: | Happening @ Michigan from Department of Mathematics, Group, Lie and Number Theory Seminar - Department of Mathematics |
