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Differential Geometry Seminar
Existence of holomorphic curves into $SL(2,\mathbb{C})$ modulo a cocompact lattice
Existence of holomorphic curves into $SL(2,\mathbb{C})$ modulo a cocompact lattice
Organizers
Speaker
Time
Tuesday, October 15, 2024 3:00 PM - 4:00 PM
Venue
A7-101
Online
Zoom 638 227 8222
(BIMSA)
Abstract
We prove the existence of a pair $(\Sigma,\Gamma)$, where Σ is a compact Riemann surface with genus$(\Sigma)\geq 2$, and $\Gamma\subset SL(2,\mathbb{C})$ is a cocompact lattice, such that there is a generically injective holomorphic map $\Sigma\subset SL(2,\mathbb{C})/\Gamma$. This gives an affirmative answer to a question raised by Huckleberry-Winkelmann and by Ghys.
Speaker Intro
Lynn Heller studied economics at the FU Berlin and Mathematics at TU Berlin from 2003-2007 and obtained her PhD in mathematics from Eberhard Karls University Tübingen in 2012. Before joining BIMSA she was juniorprofessor at Leibniz University in Hannover.
For the period 2025-2028 Lynn Heller is serving as a member of the Committee on Electronic Information and Communication (CEIC) of the International Mathematical Union (IMU).
For the period 2025-2028 Lynn Heller is serving as a member of the Committee on Electronic Information and Communication (CEIC) of the International Mathematical Union (IMU).