ICTS

SCIENTIFIC COMMITTEE MEMBERS

1. Michel Brion (Université Grenoble Alpes, Institut Fourier, France) 

2. Shrawan Kumar (University of North Carolina at Chapel Hill, USA)

3. Peter Littelmann (University of Cologne, Germany)

The meeting will bring together mathematicians working in combinatorics, geometry, and representation theory.  A primary focus will be recent developments in Schubert varieties, flag varieties and future directions. A systematic study of the combinatorial aspects of Schubert calculus was developed by Lakshmibai, Musili, and Seshadri in the 1970s and 80s and is known as Standard Monomial Theory; it is now regarded as a fundamental tool for studying Schubert varieties. The path model developed by Peter Littelmann is one of the cornerstones of the subject. The concepts surrounding Standard Monomial Theory remain highly relevant to contemporary research. The first week of the program will feature a workshop comprising four mini-courses (each with six hours of lectures) covering key themes in modern research that are relevant to Schubert varieties and flag varieties:

• Introduction to the Cohomology of the Flag Variety – Sara Billey, University of Washington, USA 
• Flag Varieties, Degenerations, and Quiver Grassmannians – Evgeny Feigin, Tel Aviv University, Israel 
• Monoidal Categorifications of Cluster Algebras and Quantum Affine Algebras – David Hernandez, Université Paris Cité and Sorbonne Université, CNRS, IMJ-PRG, France 
• Structure of Finite Free Resolutions and Schubert Varieties – Jerzy Weyman, Jagiellonian University, Poland 

These lectures are intended for graduate students, postdoctoral researchers, and scholars interested in working in the field. 

The second week of the program, titled "Combinatorics, Geometry, and Representation Theory," will serve as a major gathering for researchers studying Schubert and flag varieties  and related topics from diverse perspectives. The event aims to showcase recent advances in representation theory, combinatorics, and geometry; highlight interactions with other areas of mathematics and physics; and inspire researchers to explore open problems and challenges. 

The program provides an opportunity to honor the powerful and lasting mathematical legacy of Venkatramani Lakshmibai. Young mathematicians are strongly encouraged to apply, particularly those interested in these areas.

Eligibility Criteria:  All are welcome to apply. Preference will be given to researchers who work in areas related to the themes of the program.

Accommodation will be provided for outstation participants at our on campus guest house.

ICTS is committed to building an environment that is inclusive, non discriminatory and welcoming of diverse individuals. We especially encourage the participation of women and other under-represented groups