SAM GUNNINGHAM THESIS

Notes on Motives and Motivic L-functions prepared for a seminar class at Northwestern. Rasmussen GNR conjecturing an equivalence between the Drinfeld center of the Hecke category of type A and coherent sheaves on the flag Hilbert scheme of n points in the plane. We call these Gaitsgory’s Central Complexes. Qiaochu Yuan Qiaochu Yuan Unicorn Meta Zoo 3: Fenton j zzz ay zzz h uoregon. I am a 2nd-year graduate student in math at The University of Oregon.

I have a set of notes on character sheaves which some people have found useful, but they’re incomplete. Please come to the next one! Past Travel I attended Finally I must confess I’m a die hard fan of yours, I can’t thank you enough for all your insightful comments and answers on this site! Email Required, but never shown.

MathOverflow works best with JavaScript enabled. Understanding the purely formal part of the sheaf theoretic cohomological framework for representation theory Ask Question.

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It is sxm this complex corresponds to the tautological bundle on the Hilbert scheme. For example, I think about: Therefore I’m trying to understand a bit better the sheaf theoretic framework for representation theory.

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Home Questions Tags Users Unanswered. Qiaochu Yuan Qiaochu Yuan Another outcome of this program is to give a Soergel bimodules analogue of the so-called flattening functor from the affine Hecke category to the finite Hecke category.

Elias initiates a research program giving a Soergel bimodules analogue of D. Finally I must confess I’m a die hard fan of yours, I can’t thank you enough for thessis your insightful comments and answers on this site! To be specific I’d like to understand, for example, the purely formal parts no hard “real” theorems of the following ideas:.

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In January-March I co-organised a reading seminar on papers in geometric representation theory with Aron Heleodoro. I am a proud member of the graduate employee union GTFF and will serve as a steward for the Department of Mathematics beginning in Winter Sa I was an undergraduate in physics and mathematics at The University of Texas where I did a senior thesis on the Springer correspondence, supervised by Sam Gunningham. My advisor is Ben Elias. In view of GNRI am attempting to give a formula for the endomorphism X of the tautological bundle on the Hilbert scheme as a morphism of the Gaitsgory’s Central Complex associated to the defining representation.

I am happy to show you around Eugene! Induction and Coinduction as different pushforwards of sheaves Equivariant sheaves as sheaves on quotient stacks and relation to the Co- induction functors.

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In October-November I co-organised a learning seminar on String Topology with Brian Williamsfocusing on string topology as part of a partially extended 2d topological field thesls. How do we grade questions? Past Travel I attended Hiro Tanaka compiled a partial list of notes from the participant talks here.

sam gunningham thesis

E-mail me if you’d like a copy. I have some background in algebraic geometry and homological algebra i’m even fine with some moderate stacky language so I bunningham I have the nessasary tools to understand this yet unfortunately I’m having a hard time finding references for statements appearing, for example, in the answers to the following question.

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I have a set of notes on character sheaves which some people have gknningham useful, but they’re incomplete. It’s unclear to me what part of this story is “purely formal.

sam gunningham thesis

Is there a source that tells the overall cohomological story of representation theory with some sketches of proofs for the obviously formal propositions? I am interested in categorical and geometric representation theoryand in their connections to low-dimensional topology and mathematical physics.

Notes on Motives and Motivic L-functions prepared for a seminar class at Northwestern. The connection between structures appearing in various versions of the geometric Langlands correspondence and twists of four- and five-dimensional supersymmetric gauge theories. Rasmussen GNR conjecturing an equivalence between the Drinfeld center of the Hecke category of type A and coherent sheaves on the flag Hilbert scheme of n points in the plane.

sam gunningham thesis

Saal Hardali Saal Hardali 2 18 You can also read my thesiswhich is a combination of the last two papers above, with an expository introduction and some remarks on future work. Fenton j zzz ay zzz h uoregon.