Calendar of Events

Abstract: The Abel-Jacobi map is an identification between the degree 0 divisors on an elliptic curve and the Jacobian variety. This map is important in the theory of degenerations of K3 surfaces, where it plays a role in determining which normal crossings varieties can be smoothed to a K3 and which divisors on them extend to divisors on the general…

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Abstract: For a fixed projective scheme X, we say that a property P(L) (where L is
a line bundle on X) is satisfied by sufficiently ample line bundles if
there exists a line bundle M on X such that for any ample L the property
P(L+M) holds. I will discuss which properties of…

Abstract: In this talk, I will present some new results about skeleta of complete intersections inside (C*)^n. I will start by briefly reviewing the Batyrev-Borisov mirror construction, which uses combinatorial dualities between lattice polytopes to produce mirror pairs of Calabi-Yau complete intersections in Fano toric varieties. The main focus of the talk will be open Batyrev-Borisov complete intersections (…

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Abstract: I will discuss the construction of Symplectic Lefschetz fibrations
using tools from classical Lie theory, and then explain how they were used
to provide examples of existence/nonexistence of Mirrors having the
prescribed categories of coherent sheaves and of singularities.

Abstract: Frobenius algebras are structures relevant in multiple disciplines such as subfactor theory, conformal field theory or topological field theory. The purpose of the talk is to present results based on arxiv:2501.16978 about preservation and construction of Frobenius algebras. We introduce the notion of ⊗-Frobenius functors and provide characterizations relating them with the other Frobenius-type functors. These are used to twist module categories. Results on necessary and sufficient conditions for the preservation of certain properties under twisting and preservation of Frobenius algebras are summarized.