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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...
DRINFELD MODULES WITH MAXIMAL GALOIS ACTION ON THEIR TORSION POINTS
DRINFELD MODULES MAXIMAL GALOIS ACTION TORSION POINTS
2015/8/26
To each Drinfeld module of generic characteristic defined over a finitely generated field, one can associate a Galois representation arising from the Galois action on its torsion points. Recent work o...
We prove an analogue of the Sato-Tate conjecture for Drinfeld modules. Using ideas of Drinfeld,J.-K. Yu showed that Drinfeld modules satisfy some Sato-Tate law, but did not describe the actual law.Mor...
Bruguieres, Lack and Virelizier have recently obtained a vast generalization
of Sweedler's Fundamental Theorem of Hopf modules, in which the role of the
Hopf algebra is played by a bimonad. We pres...
In the theory of operads we consider functors of generalized symmetric powers defined by sums of coinvariant modules under actions of symmetric groups. One observes classically that the construction o...
Boltje and Maisch found a permutation complex of Spechtmodules in representation theory of Hecke algebras, which is the same as the Boltje-Hartmann complex appeared in the representation theory of sym...
Combinatorial resolutions of multigraded modules and multipersistent homology
Combinatorial resolutions multigraded modules multipersistent homology Algebraic Topology
2012/6/30
Let $ R=k[x_1...x_r]$ and $M$ a multigraded $R-$module. In this work we interpret $M$ as a multipersistent homology module and give a multigraded resolution of it. The construction involves cellular r...
On projective modules for Frobenius kernels and finite Chevalley groups
projective modules Frobenius kernels finite Chevalley groups Group Theory
2012/4/23
Let $G$ be a simply-connected semisimple algebraic group scheme over an algebraically closed field of characteristic $p > 0$. Let $r \geq 1$ and set $q = p^r$. We show that if a rational $G$-module $M...
Classification of finite dimensional irreducible modules over W-algebras
Classification of finite dimensional irreducible modules over W-algebras
2012/2/29
Finite W-algebras are certain associative algebras arising in Lie theory. Each W-algebra is constructed from a pair of a semisimple Lie algebra g (our base field is algebraically closed and of charact...
Let R be a ring. A right R-module U is called Tor-tilting if Cogen(U ) = U , where U R(U, Q/Z) and U = KerTor (U, -). Some characterizations of Tor-tilting = HomZ1+is Tor-tilting if and only if U i...
Lower bounds for finiteness of generalized local cohomology modules and their associated primes
Generalized local cohomology modules associatted prime Serre subcategories
2011/9/20
Abstract: Let $R$ be a commutative Noetherian ring with non-zero identity, $\fa$ an ideal of $R$, $M$ a finite $R$--module and $X$ an arbitrary $R$--module. In this paper, we study relations between f...
Abstract: We introduce the notion of an induced 2-crossed module, which extends the notion of an induced crossed module (Brown and Higgins).
Category equivalences involving graded modules over path algebras of quivers
Category equivalences path algebras of quivers Rings and Algebras
2011/9/14
Abstract: Let kQ be the path algebra of a quiver Q with its standard grading. We show that the category of graded kQ-modules modulo those that are the sum of their finite dimensional submodules, QGr(k...
Young's seminormal form and simple modules for $S_n$ in characteristic $p$
Young's seminormal form simple modules characteristic $p$ Quantum Algebra
2011/9/9
Abstract: We realize the integral Specht modules for the symmetric group $S_n$ as induced modules from the subalgebra of the group algebra generated by the Jucys-Murphy elements. We deduce from this t...
On the restriction of Zuckerman's derived functor modules A_q(λ) to reductive subgroups
unitary representation Zuckerman’s derived functor module branching law reductive group D-module flag variety
2011/9/6
Abstract: In this paper, we study the restriction of Zuckerman's derived functor (g,K)-modules A_q(\lambda) to g' for symmetric pairs of reductive Lie algebras (g,g'). When the restriction decomposes ...