Advanced Class Logic (past)
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Thu, 21/02 11:00 |
Will Brian (Oxford) |
Advanced Class Logic  |
SR1 |
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A topological space is called rigid if its only autohomeomorphism is the identity map. Using the Axiom of Choice it is easy to construct rigid subsets of the real line R, but sets constructed in this way always have size continuum. I will explore the question of whether it is possible to have rigid subsets of R that are small, meaning that their cardinality is smaller than that of the continuum. On the one hand, we will see that forcing can be used to produce models of ZFC in which such small rigid sets abound. On the other hand, I will introduce a combinatorial axiom that can be used to show the consistency with ZFC of the statement "CH fails but every rigid subset of R has size continuum". Only a working knowledge of basic set theory (roughly what one might remember from C1.2b) and topology will be assumed. |
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Wed, 13/02 11:00 |
Will Anscombe (Oxford) |
Advanced Class Logic |
SR1 |
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Thu, 31/01 11:00 |
Franziska Jahnke (Oxford) |
Advanced Class Logic |
SR1 |
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Following Prestel and Ziegler, we will explore what it means for a field |
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Thu, 24/01 11:00 |
Jamshid Derakhshan (Oxford) |
Advanced Class Logic |
SR1 |
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This is joint work with Angus Macintyre. We study model-theoretic properties of |
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Thu, 22/11/2012 11:00 |
Levon Haykazian (Oxford) |
Advanced Class Logic |
SR1 |
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Thu, 08/11/2012 11:00 |
Bernhard Elsner (Oxford) |
Advanced Class Logic |
SR1 |
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Thu, 01/11/2012 11:00 |
Francisko Simkevich |
Advanced Class Logic |
SR1 |
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Thu, 25/10/2012 11:00 |
Raf Cluckers (Lille/Leuven) |
Advanced Class Logic |
SR1 |
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I'll sketch some context for future and past research around valued fields |
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Thu, 18/10/2012 11:00 |
Ugur Efem (Oxford) |
Advanced Class Logic |
SR1 |
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Thu, 11/10/2012 11:00 |
Frank Wagner (Lyon) |
Advanced Class Logic |
SR1 |
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I shall present a geometric property valid in many Hrushovski |
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Thu, 01/12/2011 11:00 |
Austin Yim (Oxford) |
Advanced Class Logic |
SR2 |
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Thu, 17/11/2011 11:00 |
Adam Harris (Oxford) |
Advanced Class Logic |
SR2 |
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Thu, 10/11/2011 11:00 |
Adam Harris (Oxford) |
Advanced Class Logic |
SR2 |
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Thu, 27/10/2011 11:00 |
Vincenzo Mantova (Pisa and Oxford) |
Advanced Class Logic |
SR2 |
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Thu, 20/10/2011 11:00 |
Jamshid Derakhshan (Oxford) |
Advanced Class Logic |
SR2 |
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This is joint work with Uri Onn. We use motivic integration to get the growth rate of the sequence consisting of the number of conjugacy classes in quotients of G(O) by congruence subgroups, where $G$ is suitable algebraic group over the rationals and $O$ the ring of integers of a number field. The proof uses tools from the work of Nir Avni on representation growth of arithmetic groups and results of Cluckers and Loeser on motivic rationality and motivic specialization. |
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Thu, 26/05/2011 11:00 |
B.Zilber (Oxford) |
Advanced Class Logic |
L3 |
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Thu, 12/05/2011 11:00 |
B.Zilber (Oxford) |
Advanced Class Logic |
L3 |
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Thu, 05/05/2011 12:00 |
Lee Butler (Bristol) |
Advanced Class Logic |
L3 |
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Thu, 10/03/2011 11:00 |
L.Shaheen (Sheffield) |
Advanced Class Logic |
SR2 |
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An S-act over a monoid S is a representation of a monoid by tranformations of a set, analogous to the notion of a G-act over a group G being a representation of G by bijections of a set. An S-poset is the corresponding notion for an ordered monoid S. |
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Thu, 03/03/2011 11:00 |
Adam Harris (Oxford) |
Advanced Class Logic |
SR2 |
