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Seminar

GT Program Seminar: Locating Closed Geodesics on Foscolo's K3 Surfaces November 07, 2022 (11:00 AM PST - 12:00 PM PST)
Parent Program:
Location: SLMath: Eisenbud Auditorium, Online/Virtual
Speaker(s) GONCALO OLIVEIRA (Instituto Superior Técnico)
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Video

GT Program Seminar: Locating Closed Geodesics On Foscolo's K3 Surfaces

Abstract/Media

To participate in this seminar, please register HERE.

Motivated by some conjectures originating in the Physics literature, I have recently been looking for closed geodesics in the K3 surfaces constructed by Lorenzo Foscolo. It turns out to be possible to locate several such with high precision and compute their index (their length is also approximately known). Interestingly, in my view, the construction of these geodesics is related to an open problem in electrostatics posed by Maxwell in 1873.

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GT Program Seminar: Locating Closed Geodesics On Foscolo's K3 Surfaces