連続講演会のお知らせ
講演者： Jakob Stix 氏 （Bonn University)
場所：岡山大学理学部本館 代数ゼミ室 B-305
(1) ２００５年２月２１日（月曜）４：００～５：００
"Anabelian properties of the moduli space of smooth curves"
Abstract: Anabelian geometry tries to decipher geometric properties
from group theoretical properties of the etale fundamental group of a
variety. In this talk we study maps into the moduli space M_{g,n} of
smooth projective pointed curves from this anabelian perspective.
As an application of the main result we find that M_{g,n} (as a stack)
does not contain any simply connected subvarieties.
(2) ２００５年２月２２日（火曜）１１：００～１２：００
"A general Van Kampen theorem for algebraic fundamental groups"
Abstract: The classical Van Kampen theorem expresses the topological
fundamental group of a topological space X in terms of those of U, V and
U \cap V for a suitable open covering X = U \cup V.
In this talk we describe the combinatorial framework that is necessary
to extend this result with its 'tautological proof' to the case of
more general coverings and algebraic fundamental groups.