比利时vs摩洛哥足彩
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university of california san diego
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math 211b: group actions seminar
andreas wieser
ucsd; institute for advanced study (andreas.wieser@mail.huji.ac.il)
local-global principles and effective rates of equidistribution for semisimple orbits
abstract:
we prove an effective equidistribution theorem for semisimple closed orbits on compact adelic quotients. the obtained error depends polynomially on the minimal complexity of intermediate orbits and the complexity of the ambient space. as an application, we establish a local-global principle for representations of quadratic forms, improving the codimension assumptions and providing effective bounds in a theorem of ellenberg and venkatesh. we will discuss these theorems not assuming any prior knowledge of any of the above concepts. this is based on joint work with manfred einsiedler, elon lindenstrauss, and amir mohammadi.
host: brandon seward
december 12, 2024
10:00 am
apm 7321
research areas
ergodic theory and dynamical systems****************************
