AKSZ sigma models are physical models constructed from dg manifolds (Q-manifolds). One of important AKSZ sigma models is the Poisson sigma model, which gives the Kontsevich formula in the deformation ...
I will illustrate the most recent results on how to enhance triangulated categories (and exact functors) of geometric nature. We will then move to the problem of lifting equivalences between various t...
Bridgeland stability conditions have been introduced about 20 years ago, with motivations both from algebraic geometry, representation theory and physics. One of the fundamental problems is that we cu...
The Donaldson-Thomas invariants count stable coherent sheaves on Calabi-Yau 3-folds which were introduced by Thomas around 1998. Later Joyce-Song, Kontsevich-Soibelman and Davison-Meinhardt introduced...
Gibbs measures for nonlinear dispersive PDEs have been used as a fundamental tool in the study of low-regularity almost sure well-posedness of the associated Cauchy problem following the pioneering wo...
One of the main motivations behind derived differential geometry is to deal with singularities arising from zero loci or intersections of submanifolds. Both cases can be considered as fiber products o...
Suppose that two nonlocal minimal surfaces are included one into the other and touch at a point. Then, they must coincide. But this is perhaps less obvious than what it seems at first glance. This se...
In this talk, I will present recent results in collaboration with Esther Cabezas-Rivas and Marcos Solera (U. Valencia) concerning the analogous to the inverse mean curvature flow in the presence of an...
