course: Counting and equidistribution on homogeneous spaces, via mixing and unipotent flows
speaker: Hee Oh (Yale University)abstract: In a given algebraic variety X defined as the zero sets of polynomials with integral coefficients, understanding (1) the integral points, (2) the S-integral points and (3) the rational points of X is a classical topic in number theory and arithmetic geometry.
When the variety is a homogeneous space of a semisimple algebraic group, counting and equidistribution problems for these 3 different types of points can be approached in an unified way via either mixing or unipotent flows, and we are able give satisfactory answers in many important cases.
The goal of my 3 lectures is to explain these approach and illustrate concrete examples solved by these approach. When we are able to use mixing properties, our answers are given in effective forms.
timetable:
Mon 2 Jul, 9:30 - 10:30, Aula Dini
Tue 3 Jul, 9:30 - 10:30, Aula Dini
Wed 4 Jul, 9:30 - 10:30, Aula Dini
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