Department of

Mathematics


Seminar Calendar
for events the day of Friday, November 16, 2018.

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Friday, November 16, 2018

4:00 pm in 243 Altgeld Hall,Friday, November 16, 2018

De Rham epsilon lines and the epsilon connection

Michael Groechenig (University of Toronto)

Abstract: De Rham epsilon lines for holonomic D-modules on curves were introduced by Deligne and Beilinson-Bloch-Esnault. This formalism includes a product formula, expressing the determinant of cohomology of a holonomic D-module as a tensor product of the epsilon lines computed with respect to a non-zero rational 1-form. Patel generalised the theory of de Rham epsilon factors to arbitrary dimensions. A curious feature of BBE’s 1-dimensional theory, is the epsilon connection which appears when studying the variation of the epsilon lines on the space of non-zero 1-forms. In this talk I will explain how properties of algebraic K-theory yield a conjectural candidate for the epsilon connection in arbitrary dimensions.