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Number Theory Seminar
Seminar information archive ～04/15｜Next seminar｜Future seminars 04/16～
| Date, time & place | Wednesday 17:00 - 18:00 117Room #117 (Graduate School of Math. Sci. Bldg.) |
|---|---|
| Organizer(s) | Naoki Imai, Shane Kelly |
2023/04/26
18:00-19:30 Room #117 (Graduate School of Math. Sci. Bldg.)
Live transmission from IHES, Warning: Start time is one hour later than usual.
Dustin Clausen (Institut des Hautes Études Scientifiques)
A Conjectural Reciprocity Law for Realizations of Motives
https://indico.math.cnrs.fr/event/9634/
Live transmission from IHES, Warning: Start time is one hour later than usual.
Dustin Clausen (Institut des Hautes Études Scientifiques)
A Conjectural Reciprocity Law for Realizations of Motives
[ Abstract ]
A motive over a scheme S is a bit of linear algebra which is supposed to "universally" capture the cohomology of smooth proper S-schemes. Motives can be studied via various "realizations", which are objects of more concrete linear algebraic categories attached to S. It is known that over certain S, these different realizations are related to one another via comparison isomorphisms, as in Hodge theory. In this talk, I will try to explain that for completely general S, there is a much more subtle kind of relationship between these realizations, which takes a similar form to classical reciprocity laws in number theory.
[ Reference URL ]A motive over a scheme S is a bit of linear algebra which is supposed to "universally" capture the cohomology of smooth proper S-schemes. Motives can be studied via various "realizations", which are objects of more concrete linear algebraic categories attached to S. It is known that over certain S, these different realizations are related to one another via comparison isomorphisms, as in Hodge theory. In this talk, I will try to explain that for completely general S, there is a much more subtle kind of relationship between these realizations, which takes a similar form to classical reciprocity laws in number theory.
https://indico.math.cnrs.fr/event/9634/
