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Hall algebras of curves, commuting varieties and Langlands duality
Hall algebras of curves commuting varieties Langlands duality
2010/11/29
We construct an isomorphism between the (universal) spherical Hall algebra of a smooth projective curve of genus g and a convolution algebra in the (equivariant) K-theory of the genus g commuting vari...
An example of non-homeomorphic conjugate varieties
example non-homeomorphic conjugate varieties
2010/12/13
We give examples of smooth quasi-projective varieties over complex numbers, in the context of connected Shimura varieties, which are not homeomor-phic to a conjugate of itself by an automorphism of th...