Reading Seminar Toric Topology
Contact: Alvise Trevisan
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Thursday, 14/2/2008, 11:00 - 12:00, room H358
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Speaker:
Alvise Trevisan
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| Title:
Toric Varieties
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| Abstract:
We will introduce toric varieties and present a construction of such varieties which involves convex polytopes. The concept of a quasitoric manifold generalizes in a topological direction the class of smooth projective varieties: for this reason we will focus on issues such as projectivity and completeness (compactness), including a convex/combinatorial criterion for a toric variety to be projective.
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Thursday, 28/2/2008, 11:00 - 12:00, room H358
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Speaker:
Alvise Trevisan
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| Title:
Topology of Toric Varieties (Part I)
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We will study some topological properties of toric varieties. Topics to be presented include the fundamental group, the cohomology of affine toric varieties, a spectral sequence to compute the cohomology and the Euler characteristic of a toric variety.
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Thursday, 06/03/2008, 11:00 - 12:00, room C659
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Speaker:
Alvise Trevisan
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| Title:
Topology of Toric Varieties (Part II)
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We will present a description of the cohomology ring of a smooth projective toric variety by means of its Chow ring.
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Thursday, 13/03/2008, 11:00 - 12:00, room H358
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Speaker:
Natalia Dobrinskaya
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| Title:
Introduction to quasitoric manifolds (Part I)
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Thursday, 20/03/2008, 11:00 - 12:00, room R231
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Speaker:
Natalia Dobrinskaya
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| Title:
Introduction to quasitoric manifolds (Part II)
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Thursday, 27/03/2008, 11:00 - 12:00, room R231
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Speaker:
Natalia Dobrinskaya
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| Title:
Introduction to quasitoric manifolds (Part III)
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Thursday, 03/04/2008, 11:00 - 12:00, room R231
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Speaker:
Dietrich Notbohm
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| Title:
Quasitoric manifolds and moment angle complexes
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Wednesday, 09/04/2008, 11:00 - 12:00
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Speaker:
Dietrich Notbohm |
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| Title:
Vector bundles over quasitoric manifolds
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Thursday, 17/04/2008, 10:00 - 11:00, room R231
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Speaker:
Dietrich Notbohm
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| Title:
Cubical decompositions and cohomology of moment angle complexes and quasitoric manifolds
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Thursday, 24/04/2008, 10:00 - 11:00, room R232
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Speaker:
Federica Pasquotto
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| Title:
Hamiltonian mechanics, symplectic actions and moment maps. |
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22/05/2008, 10:00 - 11:00, room R232
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Speaker:
Federica Pasquotto
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| Title:
Symplectic toric actions
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27/05/2008, 10:00 - 11:00, room R232
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Speaker:
Federica Pasquotto
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| Title:
Symplectic toric manifolds and Delzant's theorem
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Literature
Audin, M., Torus actions on symplectic manifolds, Progress in Mathematics, 93, Birkhäuser Verlag, 2004.
Buchstaber, V.M. and Panov, T.E., Torus actions and their applications in topology and combinatorics, University Lecture Series 24, American Mathematical Society, 2004.
Cannas da Silva, A., Lectures on symplectic geometry, Lecture Notes in Mathematics 1764, Springer-Verlag, 2001.
Danilov, V.I., Geometry of toric varieties, Russ. Math. Surv. 33 (1978), no.2, 97-154.
Davis, M.W. and Januszkiewicz, T., Convex polytopes, Coxeter orbifolds and torus actions, Duke Math. J. 62 (1991), no.2, 417--451.
Ewald, G., Combinatorial convexity and algebraic geometry, Graduate Text in Mathematics, Springer, 1996.
Fulton, W., Introduction to toric varieties, Princeton University Press, 1993.
Oda, T., Convex bodies and algebraic geometry. An introduction to the theory of algebraic varieties, Springer-Verlag, 1998.