SAM GUNNINGHAM THESIS

SAM GUNNINGHAM THESIS

Unicorn Meta Zoo 3: Sign up using Email and Password. Induction and Coinduction as different pushforwards of sheaves Equivariant sheaves as sheaves on quotient stacks and relation to the Co- induction functors. Past Travel I attended I have some background in algebraic geometry and homological algebra i’m even fine with some moderate stacky language so I think 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. 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

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! This functor categorifies the flattening map from the cylindrical braid group to the ordinary braid group. In January-March I co-organised a reading seminar on papers in geometric representation theory with Aron Heleodoro. Sign up using Facebook. It is expected this complex corresponds to the tautological bundle on the Hilbert scheme. To be specific I’d like to understand, for example, the purely formal parts no hard “real” theorems of the following ideas: Home Questions Tags Users Unanswered.

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.

sam gunningham thesis

Write computer software to assist me in some of these calculations. This functor categorifies the flattening map from the cylindrical braid group to the ordinary braid group. I am a 2nd-year graduate student in math at The University of Sm. Induction and Coinduction as different thesiis of sheaves Equivariant sheaves as sheaves on quotient stacks and relation to the Co- induction functors.

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Upcoming Travel I will attend By using our site, you acknowledge that you have read and understand our Cookie PolicyPrivacy Policyand our Terms of Service.

Sign up using Facebook. Last modified Thursday January 24th, It is expected this complex corresponds to the tautological bundle on the Hilbert scheme.

For example, I think gunnningham To be specific I’d like to understand, for example, the purely formal parts no hard “real” theorems of the following ideas:. Sign up using Email and Password. Saal Hardali Saal Hardali 2 18 Therefore I’m trying to understand a bit better the sheaf theoretic framework for representation theory.

Gaitsgory’s construction of central perverse sheaves on affine flag varieties, which we call Gaitsgory’s Central Sheaves GCS. Hiro Tanaka compiled a partial list of notes from the participant talks here. It’s unclear to me what part of this story is “purely formal. Videos for the lectures are now available here.

I am interested in categorical and geometric representation theoryand in their connections to low-dimensional topology and mathematical physics. We call these Gaitsgory’s Central Complexes. By now I have the impression that many statements in representation theory can be phrased a lot more elegantly using cohomological language. Understanding the purely formal part of the sheaf theoretic cohomological framework for representation theory Ask Question.

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Current Project In gunninghwm of GNRI am attempting to give a formula for the endomorphism X of the tautological bundle on the San scheme as a morphism of the Gaitsgory’s Central Complex associated to the defining representation.

sam gunningham thesis

Please come to the next one! We read and discussed important papers from geometric representation theory in the last yunningham years. Is there a source that tells the overall cohomological story of representation theory with some sketches of proofs for the obviously formal propositions?

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Elias initiates a research program giving a Soergel bimodules analogue of D. Previously I was an undergraduate in physics and mathematics at The Thrsis of Texas where I did a senior thesis on the Springer correspondence, supervised by Sam Gunningham.

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. 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!

Sign up or log in Sign up using Google. 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 Past Travel Hhesis attended