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Amol Sasane: An analogue of Serre’s Conjecture and Control Theory

Amol Sasane, KTH

Time: Wed 2010-10-13 16.00 - 17.00

Location: Room 3721, Department of Mathematics, KTH, Lindstedtsvägen 25, 7th floor

The Quillen-Suslin Theorem, formerly known as Serre’s Conjecture, is a result in commutative algebra about the relationship between free modules and projective modules over polynomial rings. It states that every finitely generated projective module over a polynomial ring is free. Certain rings of holomorphic functions arise naturally as classes of transfer functions of stable control systems. Algebraic properties of these rings of transfer functions then play an important role in solving control theoretic problems. In particular, in this talk we will show an analogue of the Quillen-Suslin Theorem for a particular ring of holomorphic functions and explain the role this plays in the Stabilization Problem in Control Theory.

Coffee is served at 15:30 in the lunch room.

Title Date
Torsten Ekedahl: The Sato-Tate conjecture Nov 03, 2010
Jesper Grodal: Finite loop spaces Nov 10, 2010
Amol Sasane: An analogue of Serre’s Conjecture and Control Theory Oct 13, 2010
Reiner Werner: Quantum correlations - how to prove a negative from finitely many observations Sep 29, 2010
Warwick Tucker: Validated Numerics - a short introduction to rigorous computations Sep 22, 2010
Idun Reiten: Cluster categories and cluster algebras Sep 01, 2010
Stefano Demichelis: Use and misuse of mathematics in economic theory May 26, 2010
Gregory G. Smith: Old and new perspectives on Hilbert functions Apr 14, 2010
Tony Geramita: Sums of Squares: Evolution of an Idea. Mar 31, 2010
Jens Hoppe: Non-commutative curvature and classical geometry Mar 24, 2010
Margaret Beck: Understanding metastability using invariant manifolds Mar 03, 2010
Jan-Erik Björk: Glimpses from work by Carleman Feb 10, 2010