Seminars this semester


   Series:


Oct 1 Tue Paul Johnson (Sheffield)
12:00 J11 Partitions and Hilbert Schemes of Points
 
  Abstract:
This will be a gentle, expository talk explaining some connections between the two objects in the title. I will begin with partitions: using the cores-and-quotients formula to motivate the statement of an enriched version of Euler's product formula for partitions, that was conjectured by Gusein-Zade, Luengo, and Melle-Hernández in 2009, and that I proved this summer with Jørgen Rennemo. Most of the talk will be giving the geometric context for this combinatorial formula, namely how Gusein-Zade, Luengo and Melle-Hernández came to discover it by studying Hilbert schemes of points on orbifolds, and how to use Chen-Ruan cohomology to generalise it and connect it to existing results on Hilbert schemes. I will vaguely gesture toward the proof in the last five minutes for the experts, but most of the talk should be accessible to the whole audience.
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Oct 8 Tue Dhruv Ranganathan (Cambridge)
12:00 J11
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Oct 15 Tue Jenny August (Max Planck Institute for Mathematics in Bonn)
12:00 J11
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Oct 17 Thu Pierrick Bousseau (ETH Zurich)
15:30 J11 tba
 
  Abstract:
tba
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Oct 22 Tue Nick Sheridan (Edinburgh)
12:00 J11
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Oct 29 Tue Noah Arbesfeld (Imperial College London)
12:00 J11
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Nov 5 Tue Ben Davison (Edinburgh)
12:00 J11
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Nov 19 Tue Gwyn Bellamy (Glasgow)
12:00 J11 Resolutions of symplectic quotient singularities
 
  Abstract:
In this talk I will explain how one can explicitly construct all crepant resolutions of the symplectic quotient singularities associated to wreath product groups. The resolutions are all given by Nakajima quiver varieties. In order to prove that all resolutions are obtained this way, one needs to describe what happens to the geometry as one crosses the walls inside the GIT parameter space for these quiver varieties. This is based on joint work with Alistair Craw.
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Dec 3 Tue Dimitri Wyss (École Polytechnique Fédérale de Lausanne)
12:00 J11
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Dec 10 Tue Sira Gratz (Glasgow)
12:00 J11
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Dec 17 Tue Alexandr Buryak (Leeds)
12:00 J11
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