Mon, 08 Feb 2016

16:00 - 17:00
L4

Pseudo-differential operators on Lie groups

Veronique Fischer
(University of Bath)
Abstract
In this talk, I will present some recent developments in the theory of pseudo-differential operators on Lie groups. First I will discuss why `reasonable' Lie groups are the interesting manifolds where one can develop global symbolic pseudo-differential calculi. I will also give a brief overview of the analysis in the context of Lie groups. I will conclude with some recent works developing pseudo-differential calculi on certain classes of Lie groups.
Finite Open-World Query Answering with Number Restrictions
 Amarilli, A Benedikt, M 305-316 (01 Jul 2015)
Interpolation with Decidable Fixpoint Logics
 Benedikt, M Cate, B Boom, M 378-389 (01 Jul 2015)
The Complexity of Boundedness for Guarded Logics
 Benedikt, M Cate, B Colcombet, T Boom, M 293-304 (01 Jul 2015)
Backward Reachability of Autonomous Max-Plus-Linear Systems
 Adzkiya, D De Schutter, B Abate, A IFAC Proceedings Volumes volume 47 issue 2 117-122 (2014)
Backward Reachability of Autonomous Max-Plus-Linear Systems
 Adzkiya, D De Schutter, B Abate, A IFAC-PapersOnLine volume 47 issue 2 117-122 (2014)
Critical branching Brownian motion with absorption: Particle configurations
 Berestycki, J Berestycki, N Schweinsberg, J Annales de l Institut Henri Poincaré Probabilités et Statistiques volume 51 issue 4 1215-1250 (01 Nov 2015)
Generating Plans From Proofs
 Benedikt, M Tsamoura, E ten Cate, B ACM Transactions on Database Systems (01 Feb 2016)
Thu, 04 Feb 2016
15:00
L4

Basic aspects of n-homological algebra

Peter Jorgensen
(Newcastle)
Abstract

Abstract: n-homological algebra was initiated by Iyama
via his notion of n-cluster tilting subcategories.
It was turned into an abstract theory by the definition
of n-abelian categories (Jasso) and (n+2)-angulated categories
(Geiss-Keller-Oppermann).
The talk explains some elementary aspects of these notions.
We also consider the special case of an n-representation finite algebra.
Such an algebra gives rise to an n-abelian
category which can be "derived" to an (n+2)-angulated category.
This case is particularly nice because it is
analogous to the classic relationship between
the module category and the derived category of a
hereditary algebra of finite representation type.
 

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