Green’s Functions for Local Systems Over Graphs
Connections Workshop: Algebraic Cycles, L-Values, and Euler Systems January 19, 2023 - January 20, 2023
Location: SLMath: Eisenbud Auditorium, Online/Virtual
Primary Mathematics Subject Classification
No Primary AMS MSC
Secondary Mathematics Subject Classification
No Secondary AMS MSC
Green’s Functions For Local Systems Over Graphs
In this talk I’ll introduce some harmonic analysis on local systems over graphs, including an explicit construction of Green's function. We will also discuss its application towards a Gross-Zagier formula for CM cycles over Shimura curves. More specifically, using the Green’s functions we compute suitable integral extensions of the CM cycles for the arithmetic intersection pairing.
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Green’s Functions for Local Systems Over Graphs
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Green’s Functions For Local Systems Over Graphs
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