The building is at 365 5th Avenue (34th St) in Manhattan.
Here is a link for Parking lots in NY (the neighborhood is called Murray Hill).
For more information about the seminar, or to add a name to the seminar mailing list, contact Martin Bendersky
TITLE: Atiyah-Meyer formulae for Hodge-type invariants of algebraic
varieties.
ABSTRACT: I will report on recent progress on the study of genera and
characteristic classes of algebraic varieties. I will describe
Hodge-theoretic analogues of the Atiyah-Meyer signature formula, and
discuss possible extensions of these results to the singular
setting. This
is joint work with S. Cappell, A. Libgober and J. Shaneson.
Restaurant: : Kang Suh. 1250 Broadway (32nd st).
Title: Loop products and closed geodesics
Abstract: The critical points of the energy function on the free
loop space L(M)
of a compact Riemannian manifold M are the closed geodesics on M.
Filtration by the length function gives a link between the geometry of
closed geodesics and the algebraic structure given by the
Chas-Sullivan
product on the homology of L(M). Geometry reveals the existence of a
related product on the cohomology of L(M). For manifolds such as
spheres
and projective spaces for which there is a metric with all geodesics
closed, the resulting homology and cohomology rings are nontrivial,
and
closely linked to the geometry. I will not assume any knowledge of
the
Chas-Sullivan product. Joint work with Mark Goresky.
Restaurant: TBA
Restaurant: 2nd Avenue Deli
Title: Samelson products over loops on H-spaces
Room: 6417
Restuarant: Kang Suh. 1250 Broadway (32nd st).
Title: "Rings of Symmetric Functions as Modules over the Steenrod
Algebra".
Room: 6417
Restuarant: TBA
Title: From invariant theory to homotopy groups.
Abstract:
We determine the v1-periodic homotopy groups of all
irreducible p-compact groups (BX,X). In the most difficult,
modular, cases, we follow a direct path from their associated
invariant polynomials to these homotopy groups. We show that, if p
is odd, every irreducible p-compact group has X of the homotopy
type of a product of explicit spaces related to p-completed Lie
groups.
Title: Bundle structures and Algebraic K-theory
Abstract:
This talk will describe algebraic K-theoretic
obstructions to lifting fibrations to fiber bundles having compact
smooth/topological manifold fibers. The surprise will be that a
lift can often be found in the topological case. Examples will be
given realizing the obstructions.
Title: Topological complexity of lens spaces
Abstract:
The topological complexity of lens spaces can be
used to approach the immersion problem for odd dimensional
projective spaces. Following work of Fadell-Husseini (1992) and
Farber-Grant (2007), I will describe how to compute the initial
stages in such an approach.
Title: "Stable decompositions of complements of complex coordinate subspace arrangements and generalized moment angle complexes"
Abstract: A report of joint work with Martin Bendersky, Fred Cohen and Sam
Gitler. We investigate a splitting, after one suspension, of a generalized moment
angle complex into pieces related directly to the underlying simplicial complex
defining it. In the particular case of the complements of complex coordinate subspace
arrangements, our result implies a well known homology result of Goresky and
MacPherson.
Restaurant: TBA
Title:On the relations and homology in the Dehn twist quandle of a surface
Title: Are the operations in the free loop space of a closed manifold invariants of homotopy type?
Title: Derived functors of the locally finite functor
Abstract: Define the functor G from A-modules to A-modules to be the
locally finite functor where G(M) = {m in M | Am is finitely generated
as a vector space}. We describe our interest in this functor and discuss
the specific case when A is an exterior algebra over Z_2 with a countably
infinite number of generators.
Restaurant:TBA
Title "Homotopy exponents of SU(n)."
Abstract: We use methods of combinatorial number theory to prove that
some homotopy group of SU(n) has an element of order
p^{n-1+[n/p^2]+[n/p^3]+...}
Restaurant: Ben's Deli 209 W 38th St. near 7th ave.
Title: Topology and Geometry of G_2 manifolds.
Restaurant: TBA
Title: Whitney towers and low dimensional topology.
Restaurant: TBA
Abstract
Title: A spectral sequence approach to normal forms.
Restaurant: Ben's Deli
Title:Function Spaces from Surfaces and stable decompositions.
Abstract: We discuss the function spaces Map(X,M) of continuous maps
from a surface, X, to a manifold M,,studying some multiplicative
properties and giving a new stable splitting when M is a sphere.
Restaurant: TBA
Title: Subharmonic Solutions of Hamiltonian Equations on Tori
Abstract
Restaurant: TBA
Title: On the SL(2,C)-Casson Invariant.
Restaurant: Kang Suh (1250 Broadway)
Title: Refined Seiberg Witten Invariant
Restaurant: TBA
Title: Contribution of Hinz Hopf
Restaurant: TBA
Title: Parageometric Automorphisms of Free Groups.
Abstract
Restaurant:Kang Suh (1250 broadway)
Title: The number of summands in the v_1 periodic homotopy of
SU(n)
Restaurant: Ben's Deli (38th St. and 7th Ave.)
Title: Stable Geometric Dimension of Vector Bundles over RP^n
Restaurant: Crestanello (475 5th Ave. Between 40 and 41st)
Title:Poincare Duality and Brave New Rings
Restaurant:TBA
Title: The K-Theory Bousfield Kan Spectral Sequence. Applications and
Generalizations
Restaurant: TBA
Restaurant:TBA
Title: Cellular vs. Acyclic
Restaurant: Brew's, 34th st between lexigton and 3rd Ave. Very good burgers!
Abstract
Title: Atiyah's real K-theory and algebraic K-theory of real varieties
Restaurant: Da Ciro (239 Lexinton Ave near 33rd St.)
Title: Homology decompositions and constructions of group actions.
Restaurant: Da Ciro
Title: Hopf invariants and periodic orbits of Hamiltonian flows
Restaurant: TBA
Title: Holomorphic disks and invariants for 3-manifolds and smooth
4-manifolds
Abstract: We will introduce and study topological invariants for
closed 3 manifolds and smooth 4-manifolds. The 3-manifold
constructions uses Heegaard diagrams and a version of Langrangian
FLoer homology. The 4-manifold invariant uses the previous
construction, a pairing on FLoer-homology and a handle decomposition
of the 4 manifold. We will also present some applications in three
and 4-manifold topology. This is a joint result with Peter
Ozsvath.
Restaurant: TBA
Title: A model category for algebraic 2-theories
Abstract
Restaurant: TBA