Previous Conferences & Workshops

Invariant theory is a fundamental subject in mathematics, and is potentially applicable whenever there is symmetry at hand (group actions). In recent years, new problems and conjectures inspired by complexity have come to light. In this talk, I will...

We give a pseudorandom generator that fools $m$-facet polytopes over $\{0,1\}^n$ with seed length $\mathrm{polylog}(m) \cdot \mathrm{log}(n)$. The previous best seed length had superlinear dependence on $m$. An immediate consequence is a...

Number fields with the same Dedekind zeta function are said to be arithmetically equivalent. Such number fields necessarily have the same degree, discriminant, signature, Galois closure, and isomorphic unit groups, but may have different regulators...

From Romyar's AWS notes:

• Sections 4.1 and 4.2.

Regarding the proof of Ohta's comparison isomorphism:

• Discuss Fukaya-Kato Section 1.7, which explains some p-adic Hodge theory background.
• Discuss some elements of Ohta's proof, from Sections 3...

I will construct a family of curves in the square that illustrates the interplay between hyperbolic dynamics and pathology.

Abstract: I will survey (in)coherence of lattices in semisimple Lie groups, with a view toward open problems and connections with the geometry of locally symmetric spaces. Particular focus will be placed on rank one lattices, where I will discuss...