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