Line bundles on moduli spaces/stacks of G-bundles were studied intensively in 90’s by many mathematicians including Beauville, Laszlo, Sorger, Faltings, Kumar, Narasimhan, Teleman, etc. The main problems are the Verlinde formula for the dimension of global sections of these line bundles, and the determination of the Picard groups of the moduli spaces/stack of G-bundles.In this talk, I will dis...
Abstract：A classical theorem of Riemann states that complex abelian varieties are classified by their singular homology together with the Hodge filtration. In 2012 Scholze and Weinstein propose a classification of $p$-divisible groups over the $p$-adic complex numbers using analogous linear algebraic data that we may call $p$-adic local shtukas. This development lead to the introduction and st...
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