{"id":1136,"date":"2018-10-22T10:52:21","date_gmt":"2018-10-22T09:52:21","guid":{"rendered":"http:\/\/blogs.kent.ac.uk\/smsasnews\/?p=1136"},"modified":"2019-01-15T13:35:55","modified_gmt":"2019-01-15T13:35:55","slug":"dr-clelia-pech-to-deliver-a-talk-at-algebra-conference-in-france","status":"publish","type":"post","link":"https:\/\/blogs.kent.ac.uk\/smsasnews\/dr-clelia-pech-to-deliver-a-talk-at-algebra-conference-in-france\/","title":{"rendered":"Dr Clelia Pech to Deliver a Talk at Algebra Conference in France"},"content":{"rendered":"

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.<\/p>\n

Clelia will present a talk titled ‘Quantum cohomology for horospherical varieties’ at the Conference held at the Universit\u00e9 Claude Bernard in Lyon, France<\/p>\n

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Abstract:<\/strong><\/p>\n

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\u2019s 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.<\/em><\/p><\/blockquote>\n

For more information about the Conference, click here. <\/a><\/p>\n

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Dr Clelia Pech<\/h2>\n

Lecturer in Mathematics<\/a><\/h3>\n

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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.<\/p>\n<\/div>\n