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28 Geometry and Combinatorics
Geometry and Combinatorics Speaker: Ahmed Umer Ashraf (Western) "CSM classes for matroids" Time: 15:30 Room: MC 108 TBA |
29 Quantum Geometry
Quantum Geometry Speaker: Masoud Khalkhali (Western) "Combinatorics of Feynman diagrams and quantum field theory VI" Time: 11:00 Room: MC 108 |
30 Geometry and Topology
Geometry and Topology Speaker: Avi Steiner (Western) "Intersection cohomology, characteristic cycles, and affine cones" Time: 15:30 Room: MC 107 Intersection cohomology, invented by Goresky and MacPherson, is a notion of cohomology for singular spaces which admits generalizations of classical theorems such as Poincare duality and the Lefschetz hyperplane theorem. It is constructed by taking global sections of a certain perverse sheaf called the intersection cohomology complex. This complex is itself an interesting topological invariant, and to study it one often looks at its characteristic cycle. In particular, if X is the affine cone over a projective variety Y, one can look at the multiplicity of this cycle over the vertex of X. I will discuss a conjecture of mine which would describe how this multiplicity changes with the projective embedding of Y, along with some evidence for the conjecture being true coming from the normal toric case. |
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1 Algebraic Geometry
Algebraic Geometry Speaker: Nicole Lemire (Western) "Adam's operations and the Gamma Filtration" Time: 15:30 Room: WSC 187 |
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