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Mathematics Colloquium

Tuesday, April 28, 2015
4:00pm to 5:00pm
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The microlocal codimension-three conjecture
Kari Vilonen, Professor of Mathematics, Mathematics, Northwestern University,

According to an old well-established principle, special functions (or distributions) can be understood and analyzed in terms of the systems of differential equations they satisfy. To this end, a general theory of systems of linear (micro) differential equations was developed by the Sato school. This point of view, in its various incarnations, is now ubiquitous in many parts of mathematics. For example, in the geometric Langlands program and representation theory, it allows us to replace functions and group representations by geometric objects. We will discuss the main longstanding conjecture, the codimension-three conjecture, concerning the general structure of holonomic systems and indicate an outline of its proof. This is joint work with Masaki Kashiwara and the speaker. 

For more information, please contact Xinwen Zhu by email at [email protected].