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source: International Centre for Theoretical Sciences 2016年11月6日

PROGRAM LINK: https://www.icts.res.in/program/GTACM16

ORGANIZERS

Manoj Kumar and NSN Sastry

DATE & TIME

05 November 2016 to 14 November 2016

VENUE

Ramanujan Lecture Hall, ICTS Bangalore

Computational techniques are of great help in dealing with substantial, otherwise intractable examples, possibly leading to further structural insights and the detection of patterns in many abstract mathematical fields like finite group theory, combinatorics, homological algebra etc. Computational mathematics has recently emerged as an important area of study and has established itself as a powerful tool, aiding quick maturing of intuition about concrete mathematical structures.

The first part of this program, a 5-day instructional workshop during November 05 - 09, 2016, is an attempt to introduce computational techniques in group theory and related topics to graduate students and young researchers. This activity will consist of five mini-courses:

Computational Homological Algebra

Computational Representation Theory

Computational aspects of finite p-groups

Computer algebra system GAP

Introduction to Monster simple group and Moonshine

The plan is to have five hours of teaching, tutorials and guided practical sessions in each mini-course.

The second part of the program, a 4-day discussion meeting during November 11-14, 2016, is an attempt to explore some of the recent developments and problems of current mathematical interest in group theory and related areas. Eminent national and international mathematicians will be presenting their work on a variety of topics. It is planned to provide plenty of time for discussions among the participants. It is also planned to have poster presentations by young researchers to foster their interactions with the senior mathematicians. All the lecturers in the instructional workshop and a majority of discussion meeting speakers will be present during the entire program, providing the participants ample opportunities for interaction and collaboration.

CONTACT US

gtacm16@icts.res.in

p- groups - 1: Group embeddings of partial Latin squares by Heiko Dietrich 54:48

Simple grps: Finite simple groups and the monster by N. S. Narasimha Sastry 52:36

GAP - 1: Calculations with Matrix groups over the integers by Alexander Hulpke 50:51

Representation Theory(Repn Th) 1: Imprimitive irreducible representations of ... by Gerhard Hiss 46:29

Homological Algebra(Homo Alg 1): Group theoretic structures for van Kampen... by Graham Ellis 47:59

p-groups - 2: Group embeddings of partial Latin squares - 2 by Heiko Dietrich 48:27

GAP - 2: Calculations with Matrix groups over the integers - 2 by Alexander Hulpke 50:58

Finite simple groups and the monster - 2 by N. S. Narasimha Sastry 47:13

Representation Theory(Repn Th) 2: Imprimitive irreducible representations of ... - 2 by Gerhard Hiss 46:06

Homological Algebra(Homo Alg) 2: Group theoretic structures for... - 2 by Graham Ellis 48:55

p-groups - 3: Group embeddings of partial Latin squares - 3 by Heiko Dietrich 51:39

Monstrous Moonshine - 1 By Suresh Govindarajan 55:21

Representation Theory(Repn Th) 3: Imprimitive irreducible representations of...3 by Gerhard Hiss 47:39

Homological Algebra(Homo Alg) 3: Group theoretic structures for van... by Graham Ellis 48:58

p-groups - 4: Group embeddings of partial Latin squares - 4 by Heiko Dietrich 51:25

GAP - 3: Calculations with Matrix groups over the integers by Alexander Hulpke 50:46

GAP - 4: Calculations with Matrix groups over the integers by Alexander Hulpke 45:15

Monster simple group(Monster) - 1: Majorana representations by Alexander Ivanov 53:41

Moonshine - 2: Monstrous Moonshine By Suresh Govindarajan 57:56

Representation Theory(Repn Th) - 4: Imprimitive irreducible representations by Gerhard Hiss 51:12

Homological Algebra(Homo Alg) - 4: Group theoretic structures by Graham Ellis 49:40

p-groups - 5: Group embeddings of partial Latin squares by Heiko Dietrich 51:15

GAP - 5: Calculations with Matrix groups over the integers by Alexander Hulpke 50:33

Monster simple group(Monster) - 2: Majorana representations of the symmetric by Alexander Ivanov 53:03

Representation Theory(Repn Th) - 5: Imprimitive irreducible representations by Gerhard Hiss 49:09

Homological Algebra(Homo Alg) - 5: Group theoretic by Graham Ellis 48:18

Algorithmic Construction of Representations of Finite Solvable Groups by Ravi S Kulkarni 55:44

Group embeddings of partial Latin squares by Heiko Dietrich 42:07

New Local Properties in the Character Table by Gabriel Navarro 47:30

Distinguished representations for classical groups by Dipendra Prasad 51:00

Majorana representations of the symmetric and alternating groups by Alexander Ivanov 51:57

The BNS invariant and applications by Paramesh Sankaran 50:02

Rationality and Morita equivalence for blocks of finite groups by Radha Kessar 48:25

Group theoretic structures for van Kampen theorems by Graham Ellis 46:38

Commutativity Preserving Extensions of Groups by Primoz Moravec 47:36

Hamiltonicity of Cayley graphs and Gray codes: open problems by Elena Konastantinova 51:10

Imprimitive irreducible representations of finite quasisimple groups by Gerhard Hiss 48:37

More on p-groups of small breadth by Carlo M Scoppola 42:31

On the character degree graph of finite groups by Silvio Dolfi 38:49

On Sums of Element Orders in Finite Groups by Patrizia Longobardi 42:44

Retract rationality of some (exceptional) group varieties by Maneesh Thakur 40:41

Calculations with Matrix groups over the integers by Alexander Hulpke 45:19

Linearity problem for non-abelian tensor product by Valeriy Bardakov 50:10

On characterization of monomial irreducible representations by Pooja Singla 50:37

Conjugacy classes of centralizers in algebraic groups by Anupam K Singh 49:31

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