SMS scnews item created by Zhou Zhang at Mon 28 May 2012 1515
Type: Seminar
Modified: Tue 29 May 2012 1154; Fri 8 Jun 2012 1545
Distribution: World
Expiry: 23 Jul 2012
Calendar1: 26 Jun 2012 1200-1300
CalLoc1: Carslaw 159
Auth: zhangou@bari.maths.usyd.edu.au

# Geometry Seminar: Bahri -- On the Topology of Weighted Projective Spaces

Speaker: Prof. Tony Bahri (Rider University)

http://users.rider.edu/~bahri/

Time: Tuesday, June 26, 12(NOON)--1PM

Room: AGR Carslaw 829

Lunch: after the talk (at Taste at Sydney Uni, i.e.
"Law School Annex Cafe")

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Title: On the Topology of Weighted Projective Spaces

Abstract: this survey talk will be a review of results
obtained in collaboration with Mattias Franz and Nigel
Ray. As singular toric varieties, weighted projective
spaces have an action of a real torus. The equivariant
cohomology with respect to this action is computed to
be isomorphic to the ring of piecewise polynomials on
the defining fan. The theory is seen to parallel that
for smooth toric varieties with the role of the
Stanley-Reisner ring replaced by the ring of piecewise
polynomials. If time permits, an alternative presentation
of weighted projective spaces as iterated Thom complexes
will be discussed briefly. Further collaboration with
Mattias Franz, Nigel Ray and Dietrich Notbohm yields
in a complete topological classification of weighted
projective spaces.

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Web site for Geometry Seminar is at:

http://www.maths.usyd.edu.au/u/SemConf/Geometry/index.html


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