# Seminars & Colloquia Calendar

## Monopoles and Fueter sections on three-manifolds

#### Aleksander Doan - Stony Brook

Location: ** Hill 705**

Date & time: Tuesday, 02 April 2019 at 3:00PM - 4:20PM

Abstract: Over the last thirty years, the study of the Seiberg--Witten equations has led to spectacular advances in low-dimensional topology. In my talk, I will explain a generalization of the Seiberg--Witten equations and its conjectural relationship to Fueter sections, solutions of a non-linear version of the Dirac equation. I will then state some results, obtained in collaboration with Thomas Walpuski, which make progress towards proving this conjectural relationship. While generalized Seiberg--Witten equations are unlikely to lead to new invariants of low-dimensional manifolds, they have an intriguing connection to the geometry of higher-dimensional Riemannian manifolds with special holonomy.

R. Shapiro Organizer's Page

Charles Weibel Organizer's Page

Brooke Logan

Wujun Zhang Organizer's webpage

P. Gupta, X.Huang and J. Song Organizer's webpage

Swastik Kopparty, Sepehr Assadi Seminar webpage

Jeffry Kahn, Bhargav Narayanan, Jinyoung Park Organizer's webpage

Yonah Biers-Ariel, Mingjia Yang, and Doron Zeilberger --> homepage

Paul Feehan, Manousos Maridakis, Natasa Sesum Organizer's webpage

Lev Borisov, Emanuel Diaconescu, Angela Gibney, Nicolas Tarasca, and Chris Woodward Organizer's webpage

Jason Saied Seminar webpage

Brian Pinsky, Rashmika Goswami website

Corrine Yap Organizer's webpage

James Holland; Organizer website

Edna Jones Organizer's webpage

Brooke Ogrodnik website

Yanyan Li, Zheng-Chao Han, Jian Song, Natasa Sesum

Lisa Carbone, Yi-Zhi Huang, James Lepowsky, Siddhartha Sahi Organizer's webpage

Simon Thomas website

Kasper Larsen, Daniel Ocone and Kim Weston Organizer's page

Joel Lebowitz, Michael Kiessling

Yanyan Li, Haim Brezis

Stephen D. Miller, John C. Miller, Alex V. Kontorovich, Alex Walker seminar website

Stephen D. Miller

Organizers: Yanyan Li, Z.C. Han, Jian Song, Natasa Sesum

Yael Davidov Seminar webpage

Kristen Hendricks, Xiaochun Rong, Hongbin Sun, Chenxi Wu Organizer's page

Ebru Toprak, Organizer

Organizer: Luochen Zhao

Organizer: Vladimir Retakh Organizer's webpage

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