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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...
Recent developments in the massive 3D acquisition area made possible the generation of dense and precise 3D data, ranging from the representation of a simple building to a whole city. Nowadays, increa...
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...
THE SATO-TATE LAW FOR DRINFELD MODULES     SATO-TATE LAW  DRINFELD MODULES       font style='font-size:12px;'> 2015/8/26
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...
GENERALIZED HOPF MODULES FOR BIMONADS     Monad  comonad  bimonad  Beck's theorem  Hopf module       font style='font-size:12px;'> 2015/8/14
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...
Modules over operads and functors     Modules  operads  functors       font style='font-size:12px;'> 2015/3/25
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...
The marine CaCO3 cycle is an important component of the oceanic carbon system and directly affects the cycling of natural and the uptake of anthropogenic carbon. In numerical models of the marine ca...
BOLTJE-MAISCH RESOLUTIONS OF SPECHT MODULES     BOLTJE-MAISCH  RESOLUTIONS   SPECHT MODULES       font style='font-size:12px;'> 2018/4/19
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...
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...
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...
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...
On Tor-tilting Modules     cotilting module  tilting module  Tor-tilting module  torsion theory       font style='font-size:12px;'> 2011/9/28
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...
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...
Induced Two Crossed Modules     Two Crossed Modules  Algebraic Topology  Category Theory       font style='font-size:12px;'> 2011/9/16
Abstract: We introduce the notion of an induced 2-crossed module, which extends the notion of an induced crossed module (Brown and Higgins).
Abstract: We give a complete classification of the irreducible quasifinite modules for algebras of the form Vir \otimes A, where Vir is the Virasoro algebra and A is a Noetherian commutative associati...

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