# Past Events

This will be the first talk in our series on geometric wave equations, the theme for Student Analysis in the second half of fall quarter.

Using tropical geometry, Block-Göttsche defined polynomials with the remarkable property to interpolate between Gromov-Witten counts of complex curves and Welschinger counts of real curves in toric del Pezzo surfaces. I will describe a generalization of Block-Göttsche polynomials to…

Modular forms are complex analytic functions with striking symmetries, which play fundamental role in number theory. In the last few decades there have been a series of astonishing predictions from theoretical physics that various basic mathematical numbers when put in a generating…

I will explain a certain topological construction of positive scalar curvature metrics with uniformly Euclidean ($L^\infty$) point singularities. This provides counterexamples to a conjecture of Schoen. It also shows that there are metrics with uniformly Euclidean point singularities which…

We will continue discussing the paper of Walsh, Local uniformity through larger scales.

Abstract: We overview classical results and open problems concerning minimal surfaces in Euclidian Space.

- Public Lecture

Computers are now better than humans at logical games and puzzles such as Sudoku, Chess, Go and so on. Mathematics can also be framed as a logical puzzle game. When will computers become better than humans at developing new mathematics and proving new theorems? Certainly this has not happened…

Abstract:

Quantum harmonic analysis on phase space uses representations of the Heisenberg group to define analogs of the Fourier transform and of convolutions for bounded operators, and where the Schatten classes of compact operators play the role of the Lebesgue spaces. We will briefly…