Events

Charlotte Kirchoff-Lukat, University of Cambridge

Ben Sibley, Simons Center, Stony Brook University

Manousos Maridakis, Rutgers University

Lojasiewicz-Simon gradient inequalities have become increasingly useful in convergence properties of gradient flows and uniqueness of singularity models. Recently they played important role in the proof of discreteness of critical energies for energy functionals. We discuss an abstract version of a Lojasiewicz-Simon gradient inequality established under very weak assumptions and its applications for coupled Yang-Mills energy functionals and Harmonic map energy functionals on closed manifolds. 

MC 5413

Teng Fei, Columbia University

The Strominger system is a system of PDEs describing the compactification of heterotic strings with torsion. Mathematically it can be thought of as a generalization of Ricci-flat metrics on non-Kähler Calabi-Yau 3-folds. In this talk we present newly obtained smooth solutions to the Strominger system on infinitely many compact non-Kähler Calabi-Yau 3-folds with distinct topological types and sets of Hodge numbers. This is a joint work with Zhijie Huang and Sebastien Picard.

MC 5413

Dhruv Ranganathan, MIT

Ajneet Dhillon, University of Western Ontario

Let X be a smooth projective curve over a finite field and $G$ a semisimple algebraic group over its function field. Let $\mathcal{G}$ be a smooth group scheme over X with generic fiber $G$. The Tamagawa number of $G$ is an arithmetic invariant obtained from a Haar measure on the adelic points of $G$. A conjecture of Harder relates this number to the number of components of the moduli stack of $\mathcal{G}$-bundles.

Esther Cabezas-Rivas, Universität Frankfurt

We generalize most of the known Ricci flow invariant non-negative curvature conditions to less restrictive negative bounds that remain sufficiently controlled for a short time.

Mykola Matviichuk, University of Toronto