Algebra seminar
Pat Lank (Univ. Milano): Yoga for Fourier--Mukai partnership
Abstract: Integral transforms arise from complexes and induce functors on derived categories of schemes. Mukai originally used them to study derived equivalences between abelian varieties. Since then, they have played a central role in applying homological methods to extract geometric information from derived categories. However, most work has focused on smooth varieties, and comparatively less progress has been made in the singular setting. We study the behavior of integral transforms under base change. In particular, we develop a framework relating local algebra and fibers to test derived equivalences and fully faithfulness of integral transforms. This is joint work with Guisado Villalgordo, Manali Rahul, and Pavic.
The Algebra Seminar was founded by Vladimir Korinek in the early 1950's and continued by Karel Drbohlav until 1981. The seminar resumed its activities in 1990 under the guidance of Jaroslav Jezek and Tomas Kepka. Since 1994, the seminar is headed by Jan Trlifaj.
Presently, the seminar is supported by GACR. It serves primarily as a platform for presentation of recent research of the visitors to the Department of Algebra as well as members of the Department and their students.
