Elliptic Cohomology Prospects in Mathematics Durham, December 2006 Sarah Whitehouse University of Sheffield

Source URL: www.sarah-whitehouse.staff.shef.ac.uk

JOURNAL OF MATHEMATICAL PHYSICS 51, 032901 共2010兲 Pendulum, elliptic functions, and relative cohomology classes J.-P. Françoise,1,a兲 P. L. Garrido,2,b兲 and G. Gallavotti3,c兲 1

Source URL: ergodic.ugr.es

Abstracts for The CUNY workshop on differential cohomologies Analytic aspects of differential cohomology, Poincar´ e duality and spark complexes

Source URL: qcpages.qc.cuny.edu

• Cohomology
• Characteristic class
• K-theory
• Chern–Simons theory
• Homotopy
• Chern class
• Elliptic cohomology
• Abstract algebra
• Topology
• Algebraic topology

Topological Modular Forms, the Witten Genus, and the Theorem of the Cube MICHAEL J. HOPKINS Department of Mathematics, Massachusetts Institute of Technology Cambridge, MA 02139, USA

Source URL: www.mathunion.org

• Mathematics
• Elliptic cohomology
• Topological modular forms
• Cobordism
• Atiyah–Singer index theorem
• Elliptic curve
• Complex cobordism
• Genus of a multiplicative sequence
• Cohomology
• Abstract algebra
• Topology
• Algebraic topology

ELLIPTIC SPECTRA, THE WITTEN GENUS AND THE THEOREM OF THE CUBE M. ANDO, M. J. HOPKINS, AND N. P. STRICKLAND Contents 1. Introduction

Source URL: www.math.rochester.edu

• Algebraic topology
• Cohomology theories
• Analytic number theory
• Algebraic groups
• Elliptic cohomology
• Elliptic curve
• Topological modular forms
• Atiyah–Singer index theorem
• Modular form
• Abstract algebra
• Algebra
• Mathematics

THE HOMOTOPY GROUPS OF TMF AKHIL MATHEW 1. Introduction The previous talks of this seminar have built up to the following theorem: Theorem 1 (“TMF theorem”). Let Mell be the moduli stack of stable1 elliptic curves. T

Source URL: people.fas.harvard.edu

• Homotopy theory
• Cohomology theories
• Homology theory
• Homological algebra
• Topological modular forms
• Adams spectral sequence
• Elliptic cohomology
• Homotopy groups of spheres
• Spectral sequence
• Abstract algebra
• Topology
• Algebraic topology

ON THE COHOMOLOGY OF CERTAIN PEL TYPE SHIMURA VARIETIES ELENA MANTOVAN Abstract. In this paper, we study the local geometry at a prime p of PEL type Shimura varieties for which there is a hyperspecial level subgroup. We

Source URL: www.its.caltech.edu

• Homological algebra
• Cohomology theories
• Algebraic surfaces
• Algebraic groups
• Shimura variety
• Barsotti–Tate group
• Étale cohomology
• Elliptic curve
• Tate group
• Abstract algebra
• Algebra
• Algebraic geometry

Open problems: Descending cohomology, geometrically compiled by Barry Mazur * Open problems in mathematics, statistics, theoretical computer science and related areas are welcome. Please contact the section editor Kefeng

Source URL: abel.math.harvard.edu

• Hodge theory
• Homological algebra
• Algebraic curves
• Abelian varieties
• Algebraic surfaces
• Elliptic curve
• Hodge structure
• Moduli space
• Intermediate Jacobian
• Abstract algebra
• Algebraic geometry
• Geometry

ON CERTAIN UNITARY GROUP SHIMURA VARIETIES by Elena Mantovan Abstract. — In this paper, we study the local geometry at a prime p of a certain class of (PEL)

Source URL: www.its.caltech.edu

• Algebraic geometry
• Shimura variety
• Étale cohomology
• Elliptic curve
• Group scheme
• Galois module
• Abelian variety
• Tate–Shafarevich group
• Barsotti–Tate group
• Abstract algebra
• Algebra
• Homological algebra

p-adic Integration A.Iovita (notes by Cameron Franc, Marc Masdeu) Contents 1 Period rings 1.1 Ramification . . . . . . . . . .

Source URL: homepages.warwick.ac.uk

• Cohomology theories
• Homological algebra
• Differential forms
• Algebraic number theory
• P-adic Hodge theory
• Elliptic curve
• Hodge structure
• Sheaf
• De Rham cohomology
• Abstract algebra
• Algebra
• Hodge theory