
Tomasz Prytuła
Wed Jun 6, 2018
2:00 pm
See the pdf here:
https://www.math.uci.edu/sites/math.uci.edu/files/prytulaabstract.pdf

Zev Klagsbrun
Thu May 31, 2018
3:00 pm
We determine the average size of the ΦSelmer group in any quadratic twist family of abelian varieties having an isogeny Φ of degree 3 over any number field. This has several applications towards the rank statistics in such families of quadratic twists. For example, it yields the first known quadratic twist families of absolutely...

Jesse Wolfson
Wed May 30, 2018
2:00 pm

Chris Davis
Wed May 23, 2018
2:00 pm

Daniil Rudenko
Wed May 16, 2018
2:00 pm
Classical polylogarithms have been studied extensively since pioneering work of Euler and Abel. It is known that they satisfy lots of functional equations, but in weight >4 these equations are not known yet. Even in the weight 4 they were first found using heavy computerassisted computations.
The main goal of the talk is to explain...

Nathan Kaplan
Wed May 9, 2018
2:00 pm
An narc in the kdimensional projective space over a finite field F_q is a collection of n points with no k+1 in a hyperplane. What is the largest size of an narc? The MDS Conjecture proposes an answer to this question for all k and q.
For k = 2 this question asks for the maximum number of points in the projective...

Chris Davis
Mon May 7, 2018
4:00 pm
This is the first of two talks about perfectoid algebras, a concept which was developed in the last 10 years by Peter Scholze. The talks are intended to be introductory. Some familiarity with the padic numbers would be helpful but shouldn't be necessary.