Public Lecture: "3-Manifolds and Langlands Duality" by Tasuki Kinjo
Date
Location
Description
Join us for the public lecture by Tasuki Kinjo at OIST!
OISTにて開催される Tasuki Kinjo 氏による公開講演に、ぜひご参加ください。
Participants from outside OIST are welcome to attend. Please arrive at OIST’s Tunnel Main Entrance, where there will be guidance to Seminar Room B250 in the Center Building. For access and parking information, please see: https://www.oist.jp/campus/access-map
学外の皆さまのご参加も歓迎いたします。ご来場の際は、OISTトンネル側メインエントランスへお越しください。センター棟B250セミナー室のご案内がございます。なお、本講演は英語で実施され、通訳はございません。アクセスおよび駐車場に関する情報は、以下のページをご参照ください：https://www.oist.jp/ja/campus/access-map
OIST Address・住所：
1919-1 Tancha, Onna-son, Kunigami-gun, Okinawa, 904-0495, Japan
〒904-0495 沖縄県国頭郡恩納村字谷茶1919-1
Title: 3-manifolds and Langlands duality
Abstract: Mathematics has two fundamental subjects: numbers and shapes. Although they may appear very different, there are many deep analogies between them. One of the most mysterious is the analogy between algebraic number theory and 3-dimensional topology, in which prime numbers correspond to knots. Motivated by this analogy, we may ask the following question: What is the topological counterpart of Langlands duality for 3-manifolds?
Surprisingly, Kapustin and Witten proposed an answer to this question from the perspective of theoretical physics. Using gauge theory, they interpreted Langlands duality as a form of electromagnetic duality. More recently, this conjectural picture has been brought into mathematics through derived algebraic geometry, a brave new framework for algebraic geometry built on ideas from homotopy theory.
In this talk, we will survey recent progress toward this conjecture, emphasizing the perspective of 4d TQFT and the relationships among the theories associated with different gauge groups.
Profile: Tasuki Kinjo is an assistant professor of pure mathematics at RIMS, Kyoto University. He was born to parents from Okinawa and spent several years of his childhood there. He began his research career in Donaldson–Thomas theory. After concluding that Calabi–Yau threefolds (six-dimensional as real manifolds!) were perhaps too difficult for humans, he turned to applications of derived geometry to gauge theory on real three-manifolds.
Language: English
Target audience: All interested in the topic
Freely accessible to all OIST members and guests without registration.
This talk will also be broadcast online via Zoom:
Meeting ID: 993 1216 5065
Passcode: 603487
※ Please note that this event may be recorded and the videos uploaded. In addition, photos may be taken during the event. These are intended for publication online (the OIST website, social media, etc.)※
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