FOM: Midwest Model Theory Meeting, November 11-12
Stephen G Simpson
simpson at math.psu.edu
Mon Nov 6 11:32:57 EST 2000
From: Patrick Speissegger <speisseg at math.wisc.edu>
Subject: MWMT'00
Date: Sun, 05 Nov 2000 08:50:01 -0600
MWMT '00: Preliminary Program
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The year's meeting will be held on the weekend of November 11-12, 2000
at the Department of Mathematics, University of Wisconsin, Madison.
Maps, visitor information and driving directions are available at
Steffen Lempp's homepage
http://kleene.math.wisc.edu/~lempp/main.html#info.
Mail questions or comments to: Patrick Speissegger, e-mail
speisseg at math.wisc.edu
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All lectures take place in room B239 Van Vleck Hall.
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Saturday, Nov. 11
0830-0930 Coffee, muffins, etc. (at the 9th floor lounge of Van
Vleck Hall)
0930-1030 Matthias Aschenbrenner (University of Illinois,
Urbana-Champaign): Ideal Membership in Polynomial Rings over the
Integers
Abstract: Let $f_0, f_1,\dots,f_n$ be polynomials
in the indeterminates $(C,X)$ with integer coefficients, where $C =
(C_1,...,C_M)$ is a tuple of parametric variables and $X =
(X_1,...,X_N)$. Then for each field $K$ the set of $c$ in $K^M$ such
that $f_0(c,X)$ belongs to the ideal generated in $K[X]$ by
$f_1(c,X),\dots,f_n(c,X)$ is a constructible subset of $K^M$, that
is, definable by a quantifier-free formula in the language of
rings. (This classical theorem, in an equivalent formulation, is
usually accredited to Grete Hermann, 1926, although it was probably
already proved in some form or another by Julius K\"onig, 1903.) The
purpose of this talk is to sketch a proof of an analogue of this
statement for polynomial rings over the integers.
1045-1145 Martin Grohe (University of Illinois, Chicago): TBA
1200-1300 Jean-Philippe Rolin (Universite de Bourgogne, Dijon,
France): Geometric proofs of model theoretic properties
Abstract : We present different geometric methods
for proving some model theoretic properties for several classes of
sets. These properties are mainly o-minimality, model-completeness
and quantifier elimination. Moreover, we show how some metric
properties , such as existence of Lipschitz stratifications or
estimation of volumes can be deduced from these proofs.
1300-1430 Lunch Break
1430-1530 Shawn Hedman (University of Maryland, College Park):
Finite Variable Axiomatizability and Local Modularity
Abstract: We show that any locally modular almost
strongly minimal theory can be completely axiomatized by sentences of
C^k (k variable logic with counting quantifiers) for some k. We
discuss the situation for nonlocally modular theories. It can be
shown that Hrushovski's new strongly minimal sets cannot be
axiomatized by sentences of C^k for any k. Whether the theory of
algebraically closed fields of a given characteristic admits such an
axiomatization is Robinson's 6th problem and remains open.
1530-1600 Coffee Break (9th floor lounge)
1600-1700 Byunghan Kim (MIT, Boston): Stable local forking
Abstract: 1) Stable local forking theory was
developed in early 90s, before simplicity era, by Pillay and
Hrushovski. 2) Recently discovered definability theory in simple
context tells us that stable definability theory worked out at least
to supersimple case. But oddly enough, the development takes reverse
order of stable case. Here we study nice interplay between the above
mentioned 1) stable local forking and 2) simple definability
theory. Many interesting features between stable forking, canonical
bases and elimination of hyperimaginaries were revealed. E.g., if
low $T$ has strong stable forking, then canonical bases come from
stable formulas, hence $T$ has elimination of
hyperimaginaries. (Joint work with A. Pillay)
2000 Party at Patrick's house
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Sunday, Nov. 12
0830-0930 Coffee, Muffins, etc. (9th floor lounge)
0930-1030 Rahim Moosa (University of Illinois, Urbana-Champaign):
TBA
1045-1145 Andrei Morozov (Russian Academy of Sciences, Novosibirsk,
and Novosibirsk State University): TBA
1200-1300 Artur Piekosz (Cracow University of Technology):
Semilinear and semialgebraic loci of o-minimal sets
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We have a small number of travel grants available for graduate students
who wish to come to the conference but cannot find funding elsewhere.
To apply for such a grant, please contact me directly
(speisseg at math.wisc.edu).
Most nonlocal participants will be staying at the following hotels:
Lowell Hall
610 Langdon Street
MADISON, WI 53706
Phone: (608) 256-2621
and
Madison Inn
601 Langdon Street
MADISON, WI 53703
Phone: (608) 257-4391.
Both hotels are at a comfortable 10-15 min. walk from the math
department. At this time, there is no guarantee that these hotels
still have rooms available. However, when making a reservation,
mention the Midwest Model Theory Meeting and the UW Math Department.
(Reservations for invited speakers and supported graduate students
have been taken care of. If you are one of them and do not know
which hotel you are staying at, please contact me!)
Please check http://www.math.wisc.edu/~speisseg/MWMT.html for the
latest updates.
This year's meeting is supported by the Van Vleck funds through the
Department of Mathematics at the University of Wisconsin-Madison.
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