Previous Conferences & Workshops

Abstract:

A $\mathrm{GL}$-variety $X$ is an (infinite-dimensional) affine variety with an action of the infinite general linear group $\mathrm{GL}$ such that the coordinate ring of $X$ is a polynomial  $\mathrm{GL}$-representation and generated by...

Abstract: The log canonical threshold plays a fundamental role in algebraic geometry, especially birational geometry and Mori theory. Recently the problem of classifying foliations on algebraic varieties has been revolutionized by introducing ideas...

Abstract: To understand the birational geometry of a projective variety $X$, one seeks to describe all rational contractions from $X$. From an algebraic perspective, information about all these contractions are encoded in the ring formed by all...

Abstract: For studies on singularities over the field of characteristic zero, we can use many convenient tools: resolutions of singularities, Bertini’s theorem (generic smoothness), cohomology vanishing of Kodaira type, and so on. However, in...

Abstract: Emmy Noether was a central figure in the development of abstract algebra in the early 20th century. Her ideas were profoundly influential, touching nearly every corner of mathematics. In this talk, I'll discuss how those ideas have taken...

Abstract: The Deligne--Simpson problem asks for a criterion of the existence of connections on an algebraic curve with prescribed singularities at punctures. We give a solution to a generalization of this problem to $G$-connections on $\mathbb{P}^1$...

Abstract: It is well-known that for any finite group $G$, there exists a closed $3$-manifold $M$ with $G$ as a quotient of the fundamental group of $M$. However, we can ask more detailed questions about the possible finite quotients of $3$-manifold...

Abstract: The aim of this talk is to present some results on isometries of even, unimodular lattices and automorphisms of K3 surfaces.

Abstract: Vanishing theorems in complex algebraic geometry, such as the Kodaira vanishing theorem, play an important role in understanding the structure of complex algebraic varieties. Ultimately, they rely on critical input from Hodge theory. After...

Abstract:

(joint work with Martin Kalck) Periods are complex numbers obtained by integrating algebraic differential forms over $\mathbf{Q}$ over a domain of algebraic nature. This includes numbers like $\pi$, $\log(2)$ or the values of the Riemann...