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-features. With the months that Venkatesh carried all around a printout in his pocket, he and Sakellaridis experienced no clue why All those L

Still, Ben-Zvi planned to work with his 2018 sabbatical pay a visit to for the IAS for investigate squarely on the geometric side in the Langlands plan. His approach was disrupted when he went to hear a talk by Venkatesh.

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One such line has actually been to check dualities amongst arithmetic objects which are associated with, but distinct from, those Langlands was keen on. In their 2012 guide, Sakellaridis and Venkatesh analyzed a duality among periods, which might be carefully connected to automorphic types, and L

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The geometric Langlands system began inside the early nineteen eighties when Vladimir Drinfeld and Alexander Beilinson suggested a form of 2nd-buy duality. Drinfeld and Beilinson proposed that Langlands’ duality between Galois groups and automorphic kinds might be interpreted as an analogous duality involving two kinds of geometric objects.