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July 2017
AARMS Summer School 2017
During a four week period every summer AARMS invites highly regarded faculty from around the world to deliver graduate courses in the mathematical sciences and their applications. Our goals are to broaden the education of graduate students and to encourage promising undergraduates to continue their study. While, in a given year, a good number of students come from Canada, our School continues to bring to Atlantic Canada students from around the world. Indeed, the multicultural, international flavour of our School…
Find out more »March 2018
Tensor Categories and Topological Field Theory
The Atlantic Algebra Centre in St.John's is hosting a mini course on tensor categories and topological field theory by Professor Christoph Schweigert from the University of Hamburg during the week from March 5 to March 9, 2018. The mini course will connect algebra, where tensor categories frequently arise as representation categories of Hopf algebras, to physics, where topological field theories arise in string theory via the so-called topological twist. Professor Schweigert, who is a physicist by education and also the…
Find out more »June 2018
AARMS Summer School 2018: Data Analytics
The summer school is intended for graduate students and promising undergraduate students from all parts of the world. Each participant is expected to register for at least two of the four courses. Each course consists of three hours lecture sessions per day for two weeks. These are graduate courses approved by University of Prince Edward Island and we will facilitate transfer credit to the extent possible.
Find out more »September 2018
AAC minicourse by Professor Matej Bresar
During the week of September 9 to September 15, 2018, Atlantic Algebra Centre organizes a mini course “Functional Identities and Zero Product Determined Algebras" by Prof. Matej Bresar. Functional identities are an important combinatorial tool applicable to problems in noncommutative and nonassociative algebra, linear algebra, and operator theory. They have been used in an essential way for the solution of the well-known Herstein's Lie map conjectures, which remained open for three decades. Matej Brešar was one of the authors of…
Find out more »January 2019
Mini-course “Representations of simple finite dimensional and affine Lie algebras”
This mini-course will focus on Representation Theory of simple complex finite dimensional and affine Lie algebras. We will start with the introduction to the theory of infinite dimensional weight representations. Though the classification of irreducible representations is still open beyond the sl(2) case in general, in some subcategories this problem can be managed successfully. In particular, we will discuss the theory of Gelfand-Tsetlin modules and their generalizations in the finite dimensional case. A comparison will be given with the representations…
Find out more »June 2019
AARMS Summer School 2019: Dynamical Systems, DEs, and Special Functions
The summer school is intended for graduate students and promising undergraduate students from all parts of the world. Each participant is expected to register for at least two of the four courses. These courses are certified to be graduate level courses by both the School of Mathematical and Computational Sciences (SMCS) at University of Prince Edward Island and by the Atlantic Association for Research in the Mathematical Sciences (AARMS). Upon successful completion of a course, SMCS and AARMS will award…
Find out more »January 2020
Mini-course on GAP
Leandro Vendramin of the University of Buenos Aires will give a special minicourse from January 13-17. The course will be on the computer algebra system GAP. It will take place in the Department of Mathematics and Statistics at Dalhousie, and will also be live-streamed. It will be suitable for undergraduates, graduate students, postdocs, faculty, and everyone interested in symbolic computation. The first lecture of the minicourse will also work as a colloquium. Please see below for the precise dates and…
Find out more »May 2021
Groups acting on Trees: minicourse by Olga Kharlampovich
From May 3, 2021 to May 7, 2021, Professor O. Kharlampovich from City University of New York will teach a mini course on Groups acting on Trees. Due to the current situation caused by the corona virus disease, the mini course will take place virtually. Bass-Serre theory relates group actions on trees with decomposing groups as iterated applications of the operations of amalgamated product and HNN extension, via the notion of the fundamental group of a graph of groups. One…
Find out more »February 2023
Minicourse: Group Graded Azumaya Algebras and Generic Constructions
Taught by Professor Eli Aljadeff, Technion University, Israel The main theme of this mini-course is gradings by finite groups on finite-dimensional algebras. Similar to the classical situation of ungraded algebras, we will be interested in finite-dimensional graded simple algebras and finite-dimensional graded division algebras. An important role is played by a generalization of central simple algebras, called Azumaya algebras. Our main tool will be polynomial identities and, in particular, graded polynomial identities. This tool will allow us to construct generic graded…
Find out more »March 2023
Automorphisms And Derivations In Affine Algebraic Geometry
Mini-course by Professor Leonid Makar-Limanov, Wayne University, USA Brief description of the mini course After this course you will know the proofs of several classical theorems of Affine Algebraic Geometry. The original proofs of these theorems were quite involved and a much longer course would be needed for their exposition. In the first lecture we will discuss the theorems of Heinrich Jung and Rudolf Rentschler. The first one describes all invertible transformations of the plane by polynomials and the second all…
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