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

Add to your list(s) Download to your calendar using vCal

• Professor S. Mukai (RIMS, Kyoto University)
• Tuesday 30 January 2007, 17:00-18:00
• Wolfson Room (MR 2) Centre for Mathematical Sciences, Wilberforce Road, Cambridge.

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

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:

• All CMS events
• All Talks (aka the CURE list)
• CMS Events
• DPMMS Lists
• DPMMS Pure Maths Seminar
• DPMMS info aggregator
• DPMMS lists
• Hanchen DaDaDash
• Interested Talks
• Kuwait Foundation Lectures
• School of Physical Sciences
• Wolfson Room (MR 2) Centre for Mathematical Sciences, Wilberforce Road, Cambridge
• bld31

Note that ex-directory lists are not shown.