Grivaux, Julien  Chern classes in Deligne cohomology for coherent analytic sheaves. (English) Zbl
Math. Ann. 347, No. 2, Let X be a smooth complex compact manifold. For locally free sheaves

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• Algebra
• Abstract algebra
• Mathematics
• Algebraic geometry
• Bernhard Riemann
• Vector bundles
• Sheaf theory
• Characteristic classes
• GrothendieckRiemannRoch theorem
• K-theory
• Chern class
• Coherent sheaf

Math. Ann:249–284 DOIs00208Mathematische Annalen Chern classes in Deligne cohomology for coherent

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• Algebra
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• Algebraic geometry
• Characteristic classes
• Bernhard Riemann
• Homological algebra
• Sheaf theory
• Cohomology
• Coherent sheaf
• Chern class
• Sheaf

ON THE VANISHING OF REDUCED 1-COHOMOLOGY FOR BANACHIC REPRESENTATIONS YVES CORNULIER AND ROMAIN TESSERA Abstract. A theorem of Delorme states that every unitary representation of a connected Lie group with nontrivial red

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• Geometry
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• Geometric group theory
• Lie groups
• Topological groups
• Metric geometry
• Amenable group
• Kazhdan's property
• Solvable group
• Lattice
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Vanishing of the first reduced cohomology with values in an Lp-representation. Romain Tessera March 7, 2008 Abstract We prove that the first reduced cohomology with values in a mixing

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• Geometry
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• Cohomology theories
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• Topological groups
• -hyperbolic space
• Cohomology
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• Quasi-isometry
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CONTRACTING AUTOMORPHISMS AND Lp -COHOMOLOGY IN DEGREE ONE YVES DE CORNULIER, ROMAIN TESSERA Abstract. We characterize those Lie groups (as well as algebraic groups over a local field of characteristic zero) whose first

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• Geometry
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• Lie groups
• Geometric group theory
• Topological groups
• Fourier analysis
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• Linear algebraic group
• Group action
• Hyperbolic group
• Compact group

Nero Budur* (). Cohomology support loci and Bernstein-Sato ideals. Cohomology support loci of rank one local systems on complements of hyperplane arrangements are easy to calculate

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Galois and θ Cohomology Jeffrey Adams Lausanne, Switzerland, January 2016 Notes: www.liegroups.org/talks Galois Cohomology

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Homology and Cohomology Theory 14Fxx [1] Timothy G. Abbott, Kiran S. Kedlaya, and David Roe, Bounding Picard numbers of surfaces using p-adic cohomology, Martin Bright, Brauer groups of diagonal quartic surface

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Cycles and Subschemes 14Cxx [1] Timothy G. Abbott, Kiran S. Kedlaya, and David Roe, Bounding Picard numbers of surfaces using p-adic cohomology, Anita Buckley and Bal´azs Szendr¨oi, Orbifold Riemann-Roch for

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Week 1 (due Jan. 14) All numbered problems are from Morita. 1. ProblemFor a noncompact manifold M of dimension n, one can define a new cohomology theory as follows. Let Ωkc (M ) the space of C ∞ k-forms with

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