AbstractThe Deligne-Simpson problem asks for a criterion of the existence of connections on an algebraic curve with prescribed singularities at punctures. We give a solution to a generalization of this problem to G-connections on P^1 with a regular singularity and an irregular singularity (satisfying a condition called isoclinic). Here G can be any complex reductive group. Perhaps surprisingly,...
Speaker：Phan Thanh NamMathematics Institute, LMU MunichTime：Thurs., 2:00-3:00 pm, Sept. 12, 2024Venue：B627, Shuangqing Complex Building A清华大学双清综合楼A座 B627报告厅\ Abstract /I will discuss recent developments in Lieb-Thirring inequalities for the kinetic energy of orthonormal functions, which generalize Sobolev's inequality to infinite systems by incorporating the uncertainty and excl...
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