The workshop addressed a broad range of subjects in algebraic geometry. Recent results on moduli spaces of various types (of sheaves, complexes, varieties) played a prominent role in many of the talks, as well as derived ...

Riemannian metrics with positive scalar curvature play an important role in differential geometry and general relativity. To investigate these metrics, it is necessary to employ concepts and techniques from global analysis, ...

Data science is a field of major importance for science and technology nowadays and poses a large variety of challenging mathematical questions. The area of applied harmonic analysis has a significant impact on such ...

Given a smooth projective curve $C$, nonabelian Hodge theory gives a diffeomorphism between two different moduli spaces associated to $C$. The first is the moduli space of Higgs bundles on $C$ of rank $n$, which is equipped ...

Arithmetic geometry is at the interface between algebraic geometry and number theory, and studies schemes over the ring of integers of number fields, or their $p$-adic completions. The talks covered a wide range of ...

The Calculus of Variations is at the same time a classical subject, with long-standing open questions which have generated exciting discoveries in recent decades, and a modern subject in which new types of questions ...

This workshop aimed to strengthen ties and foster collaborations between different communities working on combinatorial $*$-algebras, including $C^*$-and pure algebraists.

Computational Complexity Theory is the mathematical study of the intrinsic power and limitations of computational resources like time, space, or randomness. The current workshop focused on recent developments in ...

The geometry of convex domains in Euclidean space plays a central role in several branches of mathematics: functional and harmonic analysis, the theory of PDEs, linear programming and, increasingly, in the study ...

Rough path theory emerged in the 1990s and was developed in the 2000s as an improved approach to understanding the interaction of complex random systems. As a broader alternative to stochastic calculus, it simultaneously settled ...