Seminar:
Algebra and Number Theory Seminar
Event time:
Tuesday, April 26, 2022 - 4:30pm
Speaker:
Brian Lawrence
Speaker affiliation:
UCLA
Event description:
Interesting moduli spaces don’t have many integral points. More precisely, if X is a variety over a number field, admitting a variation of Hodge structure whose associate period map is injective, then the number of S-integral points on X of height at most H grows more slowly than Hϵ, for any positive ϵ. This is a sort of weak generalization of the Shafarevich conjecture; it is a consequence of a point-counting theorem of Broberg, and the largeness of the fundamental group of X. Joint with Ellenberg and Venkatesh.
Research area(s):
Algebraic Geometry
Number Theory