Variants of Schur-Weyl duality and Dirac cohomology by Calvert, K

“…We derive the branching graph using Dirac theory and combinatorics relating to the cohomology of Borel varieties B_e of g. We use Dirac cohomology to construct an explicit model for the projective representations. …”

Hochschild cohomology of torus equivariant D-modules by Koppensteiner, C

“…We discuss the Hochschild cohomology of the category of D-modules associated to an algebraic stack. …”

Four-fold Massey products in Galois cohomology by Guillot, P, Minac, A, Topaz, A, Wittenberg, O

“…In this paper, we develop a new necessary and sufficient condition for the vanishing of -Massey products of elements in the modulo- Galois cohomology of a field. This new description allows us to define a splitting variety for -Massey products, which is shown in the appendix to satisfy a local-to-global principle over number fields. …”

Novikov-symplectic cohomology and exact Lagrangian embeddings by Ritter, A

Moment maps and cohomology of non-reductive quotients by Bérczi, G, Kirwan, F

“…Using this description we derive formulas for the Betti numbers of X//H and express the rational cohomology ring of X//H in terms of the rational cohomology ring of the GIT quotient X//T H , where T H is a maximal torus in H. …”

The Dynkin diagram cohomology of finite Coxeter groups by Rouquier, R, Laredo, V

“…We compute this cohomology when W is finite and prove in particular the rigidity of quasi-Coxeter algebra structures on kW. …”

Hochschild cohomology of some quantum complete intersections by Erdmann, K, Hellstrøm-Finnsen, M

“…We compute the Hochschild cohomology ring of the algebras $A= k\langle X, Y\rangle/ (X^a, XY-qYX, Y^a)$ over a field $k$ where $a\geq 2$ and where $q\in k$ is a primitive $a$-th root of unity. …”

Degenerations and limit Frobenius structures in rigid cohomology by Lauder, A

“…We conjecture that the limiting Frobenius structure relates to the rigid cohomology of a semistable limit of the degeneration through an analogue of the Clemens-Schmidt exact sequence. …”

A cohomological approach to the classification of $p$-groups by Borge, I

“…Let $G$ be a finite $p$-group and let $\mathbb{F}_p$ be the field of $p$ elements. We consider the cohomology groups $\operatorname{H}^1(G,\mathbb{F}_p)$ and $\operatorname{H}^2(G,\mathbb{F}_p)$ and the Massey product structure on these cohomology groups, which we use to deduce properties about $G$. …”

Cohomological approach to classify nilpotent Leibniz algebras. by Rakhimov , I.S., Kamel , A.M. Atan, Sapar, Siti Hasana

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Continuous cohomology, discrete subgroups, and representations of reductive groups/ by 330663 Borel, Armand, Wallach, Nolan R.

Quantum cohomology from mixed Higgs-Coulomb phases by Wei Gu, Ilarion V. Melnikov, Eric Sharpe

“…Abstract We generalize Coulomb-branch-based gauged linear sigma model (GLSM)–computations of quantum cohomology rings of Fano spaces. Typically such computations have focused on GLSMs without superpotential, for which the low energy limit of the GLSM is a pure Coulomb branch, and quantum cohomology is determined by the critical locus of a twisted one-loop effective superpotential. …”
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Resolutions of Cohomology Algebras and other Struggles with Integer Coefficients by Ahsan Jaleel, Andrew Percy

Subjects: “…primary cohomology operations…”
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On Galois cohomology and realizability of 2-groups as Galois groups by Michailov Ivo

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On locally analytic vectors of the completed cohomology of modular curves by Lue Pan

“…We study the locally analytic vectors in the completed cohomology of modular curves and determine the eigenvectors of a rational Borel subalgebra of $\mathfrak {gl}_2(\mathbb {Q}_p)$ . …”
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BRST quantization and equivariant cohomology: localization with asymptotic boundaries by Bernard de Wit, Sameer Murthy, Valentin Reys

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Addendum to “Hochschild cohomology of skew group rings and invariants” by Marcos E., Martínez-Villa R., Martins Ma.

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The integral cohomology of the Hilbert scheme of points on a surface by Burt Totaro

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First module cohomology group of induced semigroup algebras by Mohammad Reza Miri, Ebrahim Nasrabadi, Kianoush Kazemi

“…In this paper‎, ‎we show that if $T$ is bijective‎, ‎then the first module cohomology groups $ \HH_{\ell^1(E)}^{1}(\ell^1(S)‎, ‎\ell^{\infty}(S))$ and $ \HH_{\ell^1(E_{T})}^{1}(\ell^1({S_{T}})‎, ‎\ell^{\infty}(S_{T})) $ are equal‎, ‎where $E$ and $E_{T}$ are sets of idempotent elements in $S$ and $S _{T}$‎, ‎respectively‎. ‎…”
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On Cohomology of Simple Modules for Modular Classical Lie Algebras by Sherali S. Ibraev, Larissa S. Kainbaeva, Saulesh K. Menlikozhaeva

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