THEMATIC PROGRAMS

December 22, 2024

THE FIELDS INSTITUTE FOR RESEARCH IN MATHEMATICAL SCIENCES
20th ANNIVERSARY YEAR

January–June 2013
Thematic Program on Torsors, Nonassociative Algebras and Cohomological Invariants
Distinguished Lecture Series
May 28,29,30,31, 2013
Jean-Pierre Serre, Collège de France
Fields Institute, Room 230
May 28 at 3:30 p.m. The Use of Algebraic Groups in Algebra and Number Theory
May 29-31 at 3:30 p.m. Unitary Groups and Trace Forms in Characteristic 2

May 28, 3:30 p.m.
The Use of Algebraic Groups in Algebra and Number Theory

Sometimes, problems on group representations and number theory can be successfully attacked by using linear algebraic groups. We shall give several such examples.

May 29-31, 3:30 p.m.
Unitary Groups and Trace Forms in Characteristic 2

We shall discuss the rather peculiar properties of unitary groups in characteristic 2, with emphasis on the unitary group of the group algebra of a finite group and its applications to the structure of trace forms.


Biography:
Jean-Pierre Serre has made outstanding contributions to the fields of algebraic geometry, number theory, and topology. His work has greatly influenced the development of these areas and was published in the most prestigious journals, like the Annals of Mathematics, Inventiones mathematicae and the Publications Mathématiques de l'IHÉS. His many brilliant books are standard references and have had a great impact on the development of their areas.
From 1956 until his retirement in 1994 he was a professor at the College de France, where he now is an honorary professor. He received the Fields medal (1954, at age twenty-seven, the youngest Fields medallist ever), the Wolf prize (2000) and was the first recipient of the Abel prize (2003). He received numerous other awards, among them the Balzan prize (1985) and the Steele prize (1995). He is a member of several scientific academies (France, US, Norway, Sweden, Russia, the Royal Society, ...) and has received many honorary degrees (Cambridge, Oxford, Harvard, ...).

Speakers in the Distinguished Lecture Series (DLS) have made outstanding contributions to their field of mathematics. The DLS consists of a series of three one-hour lectures.

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