Groups, representations and applications: new perspectives

Groups, representations and applications: new perspectives's image
Created: 2020-01-06 11:57
Institution: Isaac Newton Institute for Mathematical Sciences
Description: Group Theory is essentially the theory of symmetry for mathematical and physical systems, and underpins much of modern mathematics. Born more than two centuries ago in the work of Evariste Galois, it achieved a major milestone when the Classification of Finite Simple Groups was completed. Since then, important and deep connections to areas as varied as topology, algebraic geometry, Lie theory, homological algebra, and mathematical physics, have been discovered and exploited. Still, the area abounds with basic problems and conjectures, some of which have been open for decades.

Recent breakthroughs hold out the prospect of finally solving some venerable open problems. In turn, recent results in group- and representation theory have led to substantial progress in a vast number of applications in Lie theory, number theory, algebraic geometry, combinatorics and semigroup theory, to name a few.

All this wealth of new results and directions will be in the focus of the programme, which includes the following themes:

-- Reductive groups: Representations, subgroup structure, and cohomology
-- Local-global conjectures in representation theory of finite groups
-- Fusion systems, local group theory, and revision projects
-- Modern algorithmic and computational methods
-- Connections with other areas of mathematics

There will be five one-week workshops, with the first one to provide participants with an overview of the programme's themes and how they fit together. The programme will bring together the leading experts in group and representation theory, on the one hand, and from several key other parts of mathematics on the other, with the aim of solving some of the main open problems, and taking the many connections between group theory and other areas of mathematics to the next level.
 

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10 years of meataxe development.

   30 views

Parker, R
Tuesday 28th January 2020 - 16:05 to 16:55

Collection: Groups, representations and applications: new perspectives

Institution: Isaac Newton Institute for Mathematical Sciences

Created: Tue 28 Jan 2020


Algorithms for matrix groups I

   23 views

O'Brien, E
Thursday 9th January 2020 - 10:00 to 11:00

Collection: Groups, representations and applications: new perspectives

Institution: Isaac Newton Institute for Mathematical Sciences

Created: Tue 14 Jan 2020


Algorithms for matrix groups II

   18 views

O'Brien, E
Friday 10th January 2020 - 10:00 to 11:00

Collection: Groups, representations and applications: new perspectives

Institution: Isaac Newton Institute for Mathematical Sciences

Created: Tue 14 Jan 2020


Base sizes of permutation groups: an encore

   21 views

Lee, M
Monday 27th January 2020 - 16:05 to 16:35

Collection: Groups, representations and applications: new perspectives

Institution: Isaac Newton Institute for Mathematical Sciences

Created: Mon 27 Jan 2020


Computing Green functions in small characteristics

   18 views

Geck, M
Monday 27th January 2020 - 10:10 to 11:00

Collection: Groups, representations and applications: new perspectives

Institution: Isaac Newton Institute for Mathematical Sciences

Created: Mon 27 Jan 2020


Conjectures in local representation theory

   20 views

Eaton, C
Friday 10th January 2020 - 11:30 to 12:30

Collection: Groups, representations and applications: new perspectives

Institution: Isaac Newton Institute for Mathematical Sciences

Created: Tue 14 Jan 2020


Finite permutation groups: the landscape post-CFSG

   27 views

Cameron, P
Thursday 9th January 2020 - 15:00 to 16:00

Collection: Groups, representations and applications: new perspectives

Institution: Isaac Newton Institute for Mathematical Sciences

Created: Tue 14 Jan 2020


Finite Singular Orbit Modules for Algebraic Groups

   23 views

Rizzoli, A
Friday 10th January 2020 - 15:30 to 16:00

Collection: Groups, representations and applications: new perspectives

Institution: Isaac Newton Institute for Mathematical Sciences

Created: Tue 14 Jan 2020


Fusion systems with Benson-Solomon components

   10 views

Lynd, J
Thursday 5th March 2020 - 16:00 to 17:00

Collection: Groups, representations and applications: new perspectives

Institution: Isaac Newton Institute for Mathematical Sciences

Created: Fri 6 Mar 2020


Introduction to fusion systems-I

   40 views

Kessar, R
Monday 6th January 2020 - 11:30 to 12:30

Collection: Groups, representations and applications: new perspectives

Institution: Isaac Newton Institute for Mathematical Sciences

Created: Mon 6 Jan 2020


On self-Mullineux and self-conjugate partitions

   36 views

Bernal, A
Thursday 9th January 2020 - 16:30 to 17:00

Collection: Groups, representations and applications: new perspectives

Institution: Isaac Newton Institute for Mathematical Sciences

Created: Tue 14 Jan 2020


Reduction Theorems for global-local Conjectures

   43 views

Späth, B
Thursday 9th January 2020 - 11:30 to 12:30

Collection: Groups, representations and applications: new perspectives

Institution: Isaac Newton Institute for Mathematical Sciences

Created: Tue 14 Jan 2020


The subgroup structure of almost simple groups, I

   25 views

Liebeck, M
Thursday 9th January 2020 - 09:00 to 10:00

Collection: Groups, representations and applications: new perspectives

Institution: Isaac Newton Institute for Mathematical Sciences

Created: Tue 14 Jan 2020


The subgroup structure of almost simple groups, II

   14 views

Liebeck, M
Friday 10th January 2020 - 09:00 to 10:00

Collection: Groups, representations and applications: new perspectives

Institution: Isaac Newton Institute for Mathematical Sciences

Created: Tue 14 Jan 2020


3/2-Generation

   22 views

Harper, S
Thursday 13th February 2020 - 16:00 to 17:00

Collection: Groups, representations and applications: new perspectives

Institution: Isaac Newton Institute for Mathematical Sciences

Created: Mon 17 Feb 2020


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