Minicourses of the INDAM Intensive Period “Perspectives in Lie

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Minicourses of the INDAM Intensive Period “Perspectives in Lie Theory”
December 2014-February 2015
First session - Vertex algebras, W -algebras, and applications
Speakers:
• Tomoyuki Arakawa (Kyoto University). Title: TBA
• Victor Kac (MIT). Title: TBA
• Fedya Malikov (University of Southern California). Title: TBA
December 2014
Monday
Holiday
8
Tuesday
Beginning of the
Intensive period
Wednesday
9
Thursday
10
Friday
11
Kac
Malikov
Saturday
Sunday
12
13
14
19
20
21
26
27
28
Malikov
Kac
15
16
Kac
Arakawa
Malikov
22
Malikov
23
Arakawa
29
17
Beginning of the
winter break
30
18
Kac
Arakawa
Malikov
24
Holyday
Malikov
25
31
January 2015
Monday
Tuesday
5
End of the winter 6
break
12
Arakawa
Wednesday
7
All lectures will be held in Aula Dini, Palazzo del Castelletto, Pisa
1
9
INdAM Workshop in
Rome
15
Kac
Saturday
2
8
14
Arakawa
Friday
INdAM Workshop in
Rome
INdAM Workshop in
Rome
13
Kac
Thursday
Holiday
3
4
10
11
17
18
INdAM Workshop in
Rome
16
Arakawa
Sunday
Second session - Lie Theory and Representation Theory
Winter School of the University of Padova
Speakers:
• Alexander Premet (University of Manchester). Title: TBA
• Vera Serganova (University of California, Berkeley). Title: TBA
• Geordie Williamson (Max-Planck-Institute, Bonn). Title: An illustrated guide to perverse sheaves
Abstract: This mini-course will be an introduction to perverse sheaves, with emphasis on examples from representation theory. It will be a course full of pictures
and examples, with the aim of trying to get some feeling for the fundamentals of perverse sheaves: t-structures and gluing, intersection cohomology complexes,
the decomposition theorem, vanishing and nearby cycles. As a grand finale I hope to cover de Cataldo and Migliorini’s proof of the decomposition theorem.
Although the most important concepts will be recalled, I will assume a basic knowledge of sheaves and derived categories. (If you have never worked with
sheaves, cohomology or derived categories before the learning curve will be steep.)
January 2014
Monday
Tuesday
19
Wednesday
20
10:00-12:00 Serganova
14:00-16:00 Research Talks
16:30-18:30 Exercises
Session
10:00-12:00 Williamson
14:00-16:00 Premet
16:30-18:30 Exercises
Session
26
10:00-12:00 Williamson
14:00-16:00 Serganova
16:30-18:30 Exercises
Session
Friday
22
10:00-12:00 Serganova
14:00-16:00 Research Talks
16:30-18:30 Exercises
Session
10:00-12:00 Williamson
14:00-16:00 Premet
16:30-18:30 Exercises
Session
27
10:00-12:00 Premet
14:00-16:00 Research Talks
16:30-18:30 Exercises
Session
Thursday
21
28
Sunday
24
25
10:00-12:00 Williamson
14:00-16:00 Research Talks
16:30-18:30 Exercises
Session
29
10:00-12:00 Premet
14:00-16:00 Research Talks
16:30-18:30 Exercises
Session
10:00-12:00 Williamson
14:00-16:00 Serganova
16:30-18:30 Exercises
Session
Saturday
23
30
31
10:00-12:00 Williamson
14:00-16:00 Research Talks
16:30-18:30 Exercises
Session
February 2014
Monday
Tuesday
2
Workshop: Cluster
Algebras
Wednesday
3
10:00-12:00 Serganova
14:00-16:00 Research Talks
16:30-18:30 Exercises
Session
Thursday
4
Workshop: A Super
Quantum Lie Day
All lectures will be held in Aula Dini, Palazzo del Castelletto, Pisa
Friday
5
10:00-12:00 Premet
14:00-16:00 Research Talks
16:30-18:30 Exercises
Session
Saturday
6
10:00-12:00 Serganova
14:00-16:00 Premet
16:30-18:30 Exercises
Session
Sunday
7
8
Third session - Algebraic topology, geometric and combinatorial group theory
Speakers:
• Vic Reiner (University of Minnesota). Title: TBA.
• Ulrike Tillmann (University of Oxford). Title: TBA.
• Karen Vogtmann (Cornell University, USA). Title: TBA.
February 2014
Monday
Tuesday
9
Reiner
Tillmann
Wednesday
10
16
17
Workshop: Combinatoric
Algebraic Topology of
Configurations
23
11
Reiner
Tillmann
Vogtmann
Vogtmann
Thursday
18
All lectures will be held in Aula Dini, Palazzo del Castelletto, Pisa
12
25
Saturday
Sunday
13
14
15
20
21
22
28
29
Reiner
Tillmann
Vogtmann
Workshop: Combinatoric
Algebraic Topology of
Configurations
24
Friday
19
Workshop: Combinatoric
Algebraic Topology of
Configurations
26
Workshop: Combinatoric
Algebraic Topology of
Configurations
27
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