Lecturer in Mathematics, Dr Clelia Pech, from the School of Mathematics, Statistics and Actuarial Science (SMSAS) at the University of Kent, will deliver a talk at the Algebraic Groups: Geometry, Actions and Structures Conference in October and November.

Clelia will present a talk titled ‘Quantum cohomology for horospherical varieties’ at the Conference held at the Université Claude Bernard in Lyon, France

**Abstract:**

Non-homogeneous horospherical varieties have been classified by Pasquier and include the well known odd symplectic Grassmannians. In this talk I will explain how to study their quantum cohomology, with a view towards Dubrovin’s conjecture. In particular, I will describe the cohomology groups of these varieties as well as a Chevalley formula, and prove that many Gromov-Witten invariants are enumerative. The consequence is that we can prove in many cases that the quantum cohomology is semisimple. I will also give a presentation of the quantum cohomology ring for odd symplectic Grassmannians. Finally, I will explain mirror constructions in two cases. This is joint work with R. Gonzales, N. Perrin, and A. Samokhin.

For more information about the Conference, click here.

## Dr Clelia Pech

### Lecturer in Mathematics

Clelia is a Lecturer in Mathematics. She joined the School in 2015 from a postdoctoral research position at the Institut Camille Jordan in Lyon. Her research interests include, Mirror symmetry, Homogeneous and quasi-homogeneous spaces, Gromov-Witten theory, Derived categories, Cluster algebras, and Landau-Ginzburg models.