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3 Geometry and Topology
Geometry and Topology Speaker: Matthias Franz (Western) "Equivariant cohomology and structures up to homotopy " Time: 11:30 Room: MC 108 I will discuss how A-infinity algebras and other structures 'up to homotopy' can be used to compute equivariant cohomology and, more generally, the cohomology of fibre bundles. The resulting constructions lead to an 'up to homotopy' version of Koszul duality as described by
Goresky-Kottwitz-MacPherson. As application, I will express the integral cohomology of smooth, non-compact toric varieties purely in terms of fan data.
Noncommutative Geometry
Noncommutative Geometry Speaker: Farzad Fathizadeh (Western) "Pseudodifferential operators and index theory 4" Time: 14:30 Room: MC 107 Using heat equation methods, the index of an elliptic operator can be computed by
a local formula. In this series of lectures, we will review the necessary analysis for
defining the index of an elliptic operator, and derive a local formula for the index. Colloquium
Colloquium Speaker: Askold Khovanskii (University of Toronto) "Hilbert theorem on degree of projective variety and Kushnirenko theorem" Time: 15:30 Room: MC108 According to the Kushnirenko theorem the number of solutions in
(C*)n of a generic system of equations P_1=...=Pn=0
with given Newton polyhedra Delta(P_1)=...=Delta(Pn)=Delta
equals to n! V(Delta), where V(Delta) --- n-dimensional
volume of Delta. I will present an elementary proof of this
theorem using the famous Hilbert theorem on degree of projective variety. If time permits I will present a simple proof of the Hilbert theorem.
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4 Analysis Seminar
Analysis Seminar Speaker: Rasul Shafikov (Western) "Introductions to CR functions III" Time: 15:30 Room: MC 108 (sum_{k=1}n a_k b_k )2 ≤
(sum_{k=1}n a_k2)
(sum_{k=1}n b_k2) Noncommutative Geometry
Noncommutative Geometry Speaker: Mohammad Hassanzadeh (Western) "Eilenberg -Zilber and Kunneth formulas for (co)cyclic modules" Time: 16:30 Room: MC 108 ABSTRACT:
I shall talk about Eilenberg-Zilber and Kunneth formulas for cocyclic and cyclic modules. Then we will apply it to the special case of Connes-Moscovici cocylic module for Hopf algebras.
This will be an introduction for my main goal which is cup product and coproduct for Hopf cyllic cohomology of Hopf algebras.
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5 Noncommutative Geometry
Noncommutative Geometry Speaker: Sheldon Joyner (Western) "Integration in free groups" Time: 15:00 Room: MC 107 Abstract: This talk is a survey of K.-T. Chen's dissertation work (as expounded in a 1951 paper of the same name) in which he demonstrated
the utility of his elementary theory of integration in free groups, in informing about subgroups of these groups. This integration provides the classical framework for the non-commutative Fourier transform developed by Kapranov, which will be the subject of upcoming seminar talks. |
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7 Hodge Theory
Hodge Theory Speaker: Richard Gonzales (Western) "Geometric construction of Chern classes." Time: 10:00 Room: MC 106 Algebra Seminar
Algebra Seminar Speaker: Richard Gonzales (Western) "Equivariant Cohomology. Part I" Time: 14:30 Room: MC 107 Our plan is to give an overview of equivariant cohomology for
torus actions as it is understood after Goresky, Kottwitz and MacPherson. |
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Mathematics Calendar 
Week of November 2, 2008
