Seminar in Mathematical Modeling and Analysis - Sohaib Khalid

The seminars in Mathematical Modeling and Analysis are aimed at researchers, employees, and students.

This week's seminar is given by Sohaib Khalid, The International School for Advanced Studies (SISSA), Trieste.

Title: Destabilising subvarieties for geometric PDEs of Monge-Ampere type

Abstract: In recent years,  many interesting PDEs in complex differential geometry have been investigated whose solvability (under suitable hypotheses) is characterised by the positivity of certain intersection numbers. It is natural to investigate those subvarieties which violate these inequalities when the equation is not solvable. In this talk, I will motivate why such an investigation is interesting from several points of view in differential and algebraic geometry, and report on some results obtained in previous and ongoing work with Zakarias Sjöström Dyrefelt (Aarhus) in special cases.