K
Kari Vilonen
Researcher at University of Melbourne
Publications - 70
Citations - 1959
Kari Vilonen is an academic researcher from University of Melbourne. The author has contributed to research in topics: Conjecture & Springer correspondence. The author has an hindex of 19, co-authored 68 publications receiving 1824 citations. Previous affiliations of Kari Vilonen include Brandeis University & University of Helsinki.
Papers
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Geometric Langlands duality and representations of algebraic groups over commutative rings
Ivan Mirković,Kari Vilonen +1 more
TL;DR: In this article, the basic relationship between G and G is discussed, and a canonical construction of G, starting from G, is presented, which leads to a rather explicit construction of a Hopf algebra by Tannakian formalism.
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Perverse Sheaves on affine Grassmannians and Langlands Duality
Ivan Mirković,Kari Vilonen +1 more
TL;DR: In this article, it was shown that the tensor category of representations of the Langlands dual group is naturally equivalent to a certain category of perverse sheaves on the loop Grassmannian of a reductive group.
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Whittaker patterns in the geometry of moduli spaces of bundles on curves
TL;DR: In this article, the authors studied the moduli space and a certain category of perverse sheaves on it, motivated by the study of the Whittaker functions on the group G(K), where K=F_q((t)).
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On the geometric Langlands conjecture
TL;DR: In this paper, the geometric Langlands program is used to understand a spectral decomposition of the above category under the action of the so-called Hecke functors (the latter will be defined in the talk).