Event time:
Monday, November 8, 2021 - 10:15am
Location:
Zoom
Speaker:
Nicolas Tholozan
Speaker affiliation:
École Normale Supérieure
Event description:
I will discuss the following general problem in homogeneous dynamics: Let G be a semisimple Lie group, K a compact subgroup of G and Γ a lattice in G. Let On be an equidistributing sequence of locally homogeneous subspaces of Γ∖G/K. What is the distribution of the intersection of On with a fixed analytic subspace V?
In a joint work with Salim Tayou, we show that, under the correct hypotheses, this intersection equidistributes towards a certain G-invariant form on G/K. Determining this form leads to an interesting question about the cohomology of compact homogeneous spaces. This result has interesting applications in arithmetics and in Hodge theory, which I will mention briefly if time permits.