Canonical Grothendieck Polynomials with Free Fermions
Offered By: Institut des Hautes Etudes Scientifiques (IHES) via YouTube
Course Description
Overview
Explore a lecture on constructing canonical Grothendieck polynomials using free fermions. Delve into the classical method of constructing Schur functions through matrix elements and half vertex operators associated with the boson-fermion correspondence. Examine the connection between Schur functions and cohomology classes of Schubert varieties in the Grassmannian, and learn how K-theory leads to symmetric Grothendieck polynomials. Investigate the recent generalization of refined canonical Grothendieck polynomials by Hwang et al., based on work by Galashin–Grinberg–Liu and Yeliussizov. Discover how Wick's theorem is applied to derive a presentation for canonical Grothendieck polynomials and their dual basis using free fermions, extending Iwao's recent work. Gain insights into known identities and new findings through simple computations based on joint research with Shinsuke Iwao and Kohei Motegi.
Syllabus
Tim Scrimshaw - Canonical Grothendieck polynomials with free fermions
Taught by
Institut des Hautes Etudes Scientifiques (IHES)
Related Courses
Artin Reciprocity via SpheresFields Institute via YouTube Alexander Efimov: On the K-Theory of Large Triangulated Categories
International Mathematical Union via YouTube Real Reductive Groups, K-Theory and the Oka Principle
Hausdorff Center for Mathematics via YouTube Bott Periodicity and the "Periodic Table" of Topological Insulators and Superconductors
Hausdorff Center for Mathematics via YouTube A Categorical Description of Discriminants
IMSA via YouTube