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10.5446/59320 (DOI) | So, okay, what I'll talk about is a subject that, again, I have been working on for the past two years and slowly improving various results. And I spoke about basically the same results in Oxford, so I apologize to people who have been there. And let me start right away by stating a problem. I hope people in the back ... | Let G be a real algebraic unipotent group and let Lambda be a lattice in G, with p:G->G/Lambda the quotient map. Given a definable subset X of G, in some o-minimal expansion of the reals, we describe the closure of p(X) in G/Lambda in terms definable families of cosets of real algebraic subgroups of G of positive dimen... |
10.5446/59321 (DOI) | Joint work with Pedro Andr茅s Estevan. I think he has another name, but I think I put only three because this is the one I remember. So, okay. So, okay. And I made the slides last night, so I don't remember them very well. So, for me, this is also kind of... So, okay. So, we start with complete theory and we have some ... | Adler, Casanovas and Pillay proved that if p is a complete stable type over a set B which does not fork over a set A, then the restriction of p to A is also stable. I will address the analogous question, replacing stable with NIP. In addition I will present a new proof for the stable case which uses elementary techniqu... |
10.5446/59322 (DOI) | So this is joint work with Christoph Kruppin's, get at least most of it. Pretty much all of the concrete stuff I will say will be joined with Christoph. So first, maybe I should say that we have a blanket assumption that the theories we're working on are always countable. Sometimes other things will also be countable ... | In recent work with Krupi艅ski, we showed that strong type spaces can be seen (in a strong sense) as quotients of compact Polish groups, and as a consequence. I will give a brief account of the argument, as well as describe some applications, such as showing that a non-definable analytic subgroup of a type-definable gro... |
10.5446/59323 (DOI) | But to be fair, as far as I know, there is just one unique paper in the world that deduces stuff from metastability, which is the one I'm going to talk about. So anyway, I'm doing metastability in full generality, I guess. No, there's more than one paper that mentions this word, because there are also papers of mine w... | In their work on the model theory of algebraically closed valued fields, Haskell, Hrushovski and Macpherson developed a notion of stable domination and metastability which tries to capture the idea that in an algebraically closed valued field, numerous behaviors are (generically) controlled by the value group and/or th... |
10.5446/59325 (DOI) | that says that it says something a little bit weaker than saying that in any unstable NIP theory, well, that any unstable NIP theory defines or interprets an infinite linear order, because the order will not be actually definable. But let me just start maybe with a little bit of background. So there's a theorem of Sch... | A longstanding open questions asks whether an unstable NIP theory interprets an infinite linear order. I will present a construction giving a type-definable linear (quasi-)order, thus partially answering this question. |
10.5446/59327 (DOI) | Pyong Han Kim, Alexi Kolesnikov, and Cheong-Buk Lee. And they will start from some motivations. So this is about generalization or a variant of the notion of last-carga-la group for a type. So we are only looking what's going on inside the set of realizations of a type. And there's actually a couple of natural ways to... | The notion of the localized Lascar-Galois group GalL(p) of a type p appeared recently in the context of model-theoretic homology groups, and was also used by Krupinski, Newelski, and Simon in the context of topological dynamics. After a brief introduction of the context, we will discuss some basic properties of localiz... |
10.5446/59329 (DOI) | for Alex's previous talk and then also preparatory talk for the next speaker. Believe it or not, I contain all the definitions. So if you want to look at the definition, just stop me and then I'll show you, spend more time for the definition, even the basic one. So I think the, you know, as you know, this who defined ... | Let T be an NSOP1 theory. Recently I. Kaplan and N. Ramsey proved that in T, the so-called Kim-independence (蠒(x,a0) Kim-divides over A if there is a Morley sequence ai such that {蠒(x,ai)}i is inconsistent) satisfies nice properties over models such as extension, symmetry, and type-amalgamation. In a joint work with J.... |
10.5446/59330 (DOI) | " the general setup of what machine learning looks like in general and what it looks like in the spe(...TRUNCATED) | "There are multiple connections between model-theoretic notions of complexity and machine learning. (...TRUNCATED) |
10.5446/59331 (DOI) | " I want to thank the organizers both for inviting me to this and for allowing this talk because I s(...TRUNCATED) | "We give (equivalent) friendlier definitions of classifiable theories strengthen known results about(...TRUNCATED) |
10.5446/59332 (DOI) | " But I'll talk about it nonetheless. It's actually nothing particularly deep. It's a personal obses(...TRUNCATED) | "It is by now almost folklore that if T is a countably categorical theory, and M its unique countabl(...TRUNCATED) |
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