# Groups, representations and applications: new perspectives

Created: | 2020-01-06 11:57 |
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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. |

# Media items

This collection contains 70 media items.

### Media items

#### 10 years of meataxe development.

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

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

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

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

#### Classifying 2-blocks with an elementary abelian defect group

Ardito, C

Thursday 9th January 2020 - 17:00 to 17:30

**Collection**:
Groups, representations and applications: new perspectives

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Tue 14 Jan 2020

#### Computing Green functions in small characteristics

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

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

#### Conjugacy Classes and the Normal Complement Problem in Group Algebras

Kaur, S

Friday 10th January 2020 - 15:00 to 15:30

**Collection**:
Groups, representations and applications: new perspectives

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Tue 14 Jan 2020

#### Finite permutation groups: applications to transformation semigroups and synchronization

Cameron, P

Friday 10th January 2020 - 14:00 to 15:00

**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

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

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

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

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

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

#### Partial associativity and rough approximate groups

Gowers, W

Monday 16th March 2020 - 10:00 to 11:00

**Collection**:
Groups, representations and applications: new perspectives

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Mon 16 Mar 2020

#### Real forms of complex embeddings of maximal reductive Lie algebras in semisimple Lie algebras

de Graaf, W

Wednesday 29th January 2020 - 11:30 to 12:20

**Collection**:
Groups, representations and applications: new perspectives

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Thu 30 Jan 2020

#### Reduction Theorems for global-local Conjectures

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

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

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

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