Department of

# Mathematics

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

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events for the
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Questions regarding events or the calendar should be directed to Tori Corkery.
     October 2018          November 2018          December 2018
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1  2  3  4  5  6                1  2  3                      1
7  8  9 10 11 12 13    4  5  6  7  8  9 10    2  3  4  5  6  7  8
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21 22 23 24 25 26 27   18 19 20 21 22 23 24   16 17 18 19 20 21 22
28 29 30 31            25 26 27 28 29 30      23 24 25 26 27 28 29
30 31


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.