Dennis Sullivan, CUNY Graduate Center and SUNY-Stony Brook
Topology and Geometry of the Space of Closed Curves in a Manifold
Tuesday, September 08 2009, at 16:30
Dipartimento di Matematica - Università degli Studi di Milano, Via Saldini 50 - Aula Chisini | |
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Yaroslav D. Sergeyev, Università della Calabria
Numerical calculus with infinite and infinitesimal numbers and the Infinity computer
http://www.theinfinitycomputer.com
Monday, June 22 2009, at 17:00
Dipartimento di Matematica, Università di Milano, Sala di Rappresentanza | |
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Isaac Namioka, University of Washington
Analysis of the flow associated with the
function $n\mapsto\lambda^{n^k}$
Wednesday, June 17 2009, at 17:00
Dipartimento di Matematica, Politecnico di Milano, Aula Seminari III piano | |
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Gregory Margulis, Yale University
Homogeneous Dynamics And Number Theory
Monday, June 08 2009, at 16:30
Dipartimento di Matematica, Università di Milano, V. Saldini 50, Aula Chisini | |
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Gordana Todorov, Northeastern University (Boston, Stati Uniti)
Cluster categories and their relation to cluster algebras and semi-invariants
Wednesday, September 26 2007, at 17:00
Dipartimento di Matematica - Università degli Studi - Via Saldini 50 - Milano - Sala di Rappresentanza |
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Abstract
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"Cluster categories were introduced in the paper ""Tilting theory and cluster combinatorics"" in order to better understand the combinatorics of cluster algebras, by giving new, module theoretic and categorical meanings to the combinatorics of the well known Cluster algebras of Fomin and Zelevinsky. Subsequently, we gave a very precise correspondence between the notions in these two areas. This proved to be quite useful and productive approach with even further connections to semi-invariants of quivers. However, in order to get this connection, we define and study virtual representation spaces having both positive and negative dimensions at the vertices of a quiver without oriented cycles. We consider the virtual semi-invariants and prove that they satisfy the three basic theorems: the First Fundamental Theorem (determinantal), the Saturation theorem and the Canonical Decomposition theorem. In the special case of Dynkin quivers with n vertices, this gives the fundamental interrelationship between the supports of the semi-invariants and the Tilting triangulation of the (n-1) sphere." |
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Marc Levine, Northeastern University (Boston, Stati Uniti)
Motivic homotopy theory
Monday, June 18 2007, at 17:00
Dipartimento di Matematica - Università degli Studi - Via Saldini 50 - Milano - Sala di Rappresentanza | |
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