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This is a periodic series learning seminar organized by Koji Shimizu and Shizhang Li on prismatic F-gauges held on each Monday at MCM110. More info can be found on the website.
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Syntomic cohomology and (φ, Γ)-modules
同调 上同调 （φ，Γ）模块
2023/4/26
The goal of this talk is to compare the local Fontaine–Messing period map and the Lazard type period map [CN17, Thm. 4.16]. Since the notation for the general case is too heavy, you may focus on d = 1...
COHOMOLOGY OF U(2,1) REPRESENTATION VARIETIES OF SURFACE GROUPS
U(2,1) REPRESENTATION VARIETIES SURFACE GROUPS
2015/12/17
In this paper we use the Morse theory of the Yang-Mills-Higgs functional on the singular space of Higgs bundles on Riemann surfaces to compute the equivariant cohomology of the space of semistable U(2...
Sharp vanishing thresholds for cohomology of random flag complexes
Sharp vanishing thresholds cohomology random flag complexes Algebraic Topology
2012/7/11
We exhibit a sharp threshold for vanishing of rational cohomology in random flag complexes, providing a generalization of the Erd\H{o}s-R\'enyi theorem. As a corollary, almost all d-dimensional flag c...
Cutting description of trivial 1-cohomology
Cutting description trivial 1-cohomology Algebraic Topology
2012/6/30
As an exercise in Morse theory and Eilenberg-MacLane spectrum, we propose a topological description of trivial first cohomology in terms of cutting properties of open sets.
Cohomology of Kac-Moody groups over a finite field
Cohomology classifying spaces Kac-Moody groups
2012/6/26
We compute the mod $p$ cohomology algebra of a family of infinite discrete Kac-Moody groups of rank two defined over finite fields of characteristic different from $p$.
Central cohomology operations and K-theory
K-theory operations cobordism Algebraic Topology
2012/4/16
For stable degree zero operations, and also for additive unstable operations of bidegree (0,0), it is known that the centre of the ring of operations for complex cobordism is isomorphic to the corresp...
On the equivariant cohomology of rotation groups and Stiefel manifolds
cohomology of rotation groups Stiefel manifolds Algebraic Topology
2011/9/22
Abstract: In this paper, we compute the $RO(\mathbb{Z}/2)$-graded equivariant cohomology of rotation groups and Stiefel manifolds with particular involutions.
Higher homotopy operations and Andr?Quillen cohomology
Higher homotopy operations Andre-Quillen cohomology homotopycommutative diagram k-invariants obstruction theory
2011/9/15
Abstract: There are two main approaches to the problem of realizing a $\Pi$-algebra (a graded group $\Lambda$ equipped with an action of the primary homotopy operations) as the homotopy groups of a sp...
On $L^p$ inequality for differential forms and $L^p$ cohomology of a semialgebraic set for $p>>1$
differential forms semialgebraic set Geometric Topology
2011/8/23
Abstract: We study Poincar\'e type $L^p$ inequality on a compact semialgebraic subset of $\R^n$ for $p>>1$. First we derive a local inequality by using a Lipschitz deformation retraction with estimate...
Real Homology Cohomology and Harmonic Cochains, Least Squares, and Diagonal Dominance
Real Homology Cohomology Harmonic Cochains Least Squares Diagonal Dominance
2011/3/2
We give new algorithms for computing basis cochains for real-valued homology, cohomology, and
harmonic cochains on manifold simplicial complexes. We discuss only planar, surface, and solid
meshes.
Logarithmic Poisson cohomology: example of calculation and application to prequantization
Logarithmic Poisson cohomology application prequantization
2011/2/24
In this paper, we introduce the notions of logarithmic Poisson structure
and logarithmic principal Poisson structure; we prove that the latter
induces a representation by logarithmic derivation of t...
Cohomology rings of good contact toric manifolds
contact toric cohomology equivariant cohomology
2011/1/20
A good contact toric manifold M is determined by its moment cone C. We compute the equivariant cohomology ring with Z coefficient of M in terms of the combinatorial data of C. Then under a smoothness ...
One-cohomology and the uniqueness of the group measure space decomposition of a II_1 factor
One-cohomology uniqueness group measure space decomposition
2011/2/25
e provide a unified and self-contained treatment of several of the recent uniqueness theorems
for the group measure space decomposition of a II1 factor.
For a proper smooth variety of even dimension over a field of characteristic dif-ferent from 2 or ℓ, the second Stiefel-Whitney class of the ℓ-adic cohomology and the second Hasse-Witt cla...