Past Events

It is conjectured that two cubic fourfolds are birational if their associated K3 categories are equivalent. We prove this conjecture for very general cubic fourfolds containing a Veronese surface, where the birational maps are induced from a Cremona...

TBA

Prime numbers are central objects of study in number theory. In the 1730s, Euler gave a novel proof of the infinitude of primes by showing that P p 1=p diverges, where the sum runs over all prime numbers. Deriving inspiration from Euler’s idea...

The closest point method (CPM) is a numerical method that was originally developed to solve partial differential equations (PDEs) on smooth, static surfaces using standard finite difference and interpolation methods. In this talk, we describe a...

In the first part of the talk we discuss a sum-product type result on points near the unit circle that are almost closed under additions. Later we apply the obtained result to establish several universal behavior of the roots of random eigenfunctions...

The dimension of a poset P is the minimum number of total orders whose intersection is P. We prove that the dimension of every poset whose comparability graph has maximum degree $\Delta$ is at most $\Delta log^{1+o(1)} \Delta$. This result improves...

Talk 1: Nilima Nigam- An overview of finite element methods à la Dominik Schoetzau Finite element methods occupy a central and ubiquitous place in much of modern engineering and scientific computing, to the point where they are now treated as 'black...

Let k be a field, A be a finite-dimensional k-algebra (not necessarily commutative, associative or unital), and R be a commutative ring containing k. An R-algebra B is called an R-form of A if there exists a faithfully flat ring extension S/R such...

The celebrated Erdős-Pósa theorem states that every undirected graph that does not admit a family of k vertex-disjoint cycles contains a feedback vertex set (a set of vertices hitting all cycles in the graph) of size O(k log k). After being known for...