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DTSTART;TZID=Europe/Berlin:20230713T153000
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DTSTAMP:20260509T182533
CREATED:20220704T111027Z
LAST-MODIFIED:20230628T114111Z
UID:3290-1689262200-1689267600@crc326gaus.de
SUMMARY:Ruth Moufang Lectures 2022 (2nd lecture\, postponed to 2023)
DESCRIPTION:The Ruth Moufang Lectures will have their second iteration on July 13th and 14th\, 2023 in Darmstadt. We are happy to announce that our speaker will be Sarah Zerbes (ETH Zürich). The lectures will circle around the BSD conjecture and Euler systems. \nSarah Zerbes – An introduction to the theory of Euler systems\nAbstract: Euler systems are one of the most powerful tools for proving new cases of the Birch–Swinnerton-Dyer and Bloch–Kato conjectures. In my lectures\, I will give an introduction to the theory of Euler systems\, and give some examples of how to construct and where to find them. \n\n2nd lecture: Euler systems: what they are and where to find them\n\nAbstract: \nEuler systems are one of the powerful tools for attacking the Bloch--Kato and Birch--Swinnerton-Dyer conjectures. I will sketch the construction of the Euler system attached to Rankin--Selberg convolutions of modular forms (joint work with Kings\, Lei and Loeffler)\, which was motivated by the Rankin--Selberg integral formula.\nLectures 2 and 3 are aimed at mathematicians with a background in number theory.
URL:https://crc326gaus.de/event/ruth-moufang-lectures-2022-2nd-lecture/
LOCATION:Karolinenplatz 5\, S1|01 A3\, Karolinenplatz 5\, Darmstadt\, Germany
CATEGORIES:GAUS-Event
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DTSTART;TZID=Europe/Berlin:20230714T090000
DTEND;TZID=Europe/Berlin:20230714T103000
DTSTAMP:20260509T182533
CREATED:20220704T111154Z
LAST-MODIFIED:20230628T114027Z
UID:3293-1689325200-1689330600@crc326gaus.de
SUMMARY:Ruth Moufang Lectures 2022 (3rd lecture\, postponed to 2023)
DESCRIPTION:The Ruth Moufang Lectures will have their second iteration on July 13th and 14th\, 2023 in Darmstadt. We are happy to announce that our speaker will be Sarah Zerbes (ETH Zürich). The lectures will circle around the BSD conjecture and Euler systems. \nSarah Zerbes – An introduction to the theory of Euler systems\nAbstract: Euler systems are one of the most powerful tools for proving new cases of the Birch–Swinnerton-Dyer and Bloch–Kato conjectures. In my lectures\, I will give an introduction to the theory of Euler systems\, and give some examples of how to construct and where to find them. \n\n3rd lecture: Euler systems and the BSD conjecture for abelian surfaces\n\nAbstract: \nI will recall a series of recent works (variously joint with Loeffler\, Pilloni\, Skinner) giving rise to an Euler system in the cohomology of Shimura varieties for GSp(4)\, and an explicit reciprocity law relating the Euler system to values of L-functions. I will then explain recent work with Loeffler\, where we use this Euler system to prove new cases of the BSD conjecture for modular abelian surfaces over Q\, and for modular elliptic curves over imaginary quadratic fields.\nLectures 2 and 3 are aimed at mathematicians with a background in number theory.
URL:https://crc326gaus.de/event/ruth-moufang-lectures-2022-3rd-lecture/
LOCATION:Magdalenenstraße 8\, S1|20 R01
CATEGORIES:GAUS-Event
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