University of Cambridge > Talks.cam > Kuwait Foundation Lectures > Hilbert's 14th problem and Verlinde type formulas for rings of invariant polynomials

  Browse A-Z

Log in

University Account External (via Google)

🔐 Log In

Information on

Subscribing to talksdetails Finding a talkdetails Adding a talkdetails Disseminating talksdetails Help and Documentationdetails

ℹ️ Information

Hilbert's 14th problem and Verlinde type formulas for rings of invariant polynomials

Download to your calendar using vCal

If you have a question about this talk, please contact .

I discuss the ring R of polynomials which are invariant by a mutually commutative set of n matrices. The ring of semi-invariants of binary forms is an example of the case n=1. For example it is generated by the first coefficient and the discriminant $b^2 – 4 ac$ in the quadratic case. By Gordan and Weitzenboeck the ring R is finitely generated when n=1. Despite Hilbert’s optimism, R is still no more finitely generated when n> 2. The finite generation problem is still open in the boundary case n=2. I present two non-trivial examples for which the answers are affirmative. Remarkably, these examples have Verlinde type formulas, which should be affine Lie algebra analogues of the classical Cayley-Sylvester formula.

This talk is part of the Kuwait Foundation Lectures series.

This talk is included in these lists:

Note that ex-directory lists are not shown.

Other lists

https://dtudk.zoom.us/j/64671492015?pwd=ZkZyd1BpSHNvR3JQNDlWbXZ1aG9CUT09 Seminar Room 2, IfM, 17 Charles Babbage Road, Cambridge CB3 0FS Average on Sundays: 7224.32758621 kWh

Other talks

Quantum optics with organic molecules Title to be confirmed What’s my reproduction number? Life history strategies: an interdisciplinary perspective Genomic Medicine CPC CSaP Annual Cleevely Lecture 2026 Polar Oceans Seminar Talk
 

© 2006-2025 Talks.cam, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity