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_posts/2022-03-25-independent-families-spectra-and-indestructibility.html

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In this talk, we will consider some recent advances in the area and
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point out to remaining open questions.
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</p>
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<p><strong><a href=''>Video</a></strong></p>
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<p><strong><a href='https://www.youtube.com/watch?v=yM2L1tXC7SI'>Video</a></strong></p>
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excerpt_separator: <!--more-->
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talk: yes

_posts/2022-04-01-independent-families-spectra-and-indestructibility-part-ii.html

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In this talk, we will consider some recent advances in the area and
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point out to remaining open questions.
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</p>
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<p><strong><a href=''>Video</a></strong></p>
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<p><strong><a href='https://www.youtube.com/watch?v=2CxMEPDbqg8'>Video</a></strong></p>
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excerpt_separator: <!--more-->
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talk: yes

_posts/2022-04-19-absolute-undefinability-in-arithmetic.html

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abstract: "
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<p>I will survey some well-known and some more recent undefinability results about models of Peano Arithmetic. I want to contrast first-order undefinability in the standard model with a much stronger notion of undefinability which is suitable for resplendent models, and use the results to motivate some more general questions about the nature of undefinability.
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</p>
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<p><strong><a href=''>Video</a></strong></p>
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<p><strong><a href='https://www.youtube.com/watch?v=y6s8fDYnV6A'>Video</a></strong></p>
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​"
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talk: yes
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---
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layout: talk
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title: Set Theory Seminar
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talk_title: Do these ultrafilters exist, I&#58; preservation by forcing
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categories: set-theory-seminar
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date: 2022-04-22
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semester: spring-2020
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speaker_first: Andreas
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speaker_last: Blass
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speaker_website:
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affiliation: University of Michigan
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abstract: "
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<p>
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This is the first of two talks devoted to two properties of
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ultrafilters (non-principal, on omega) for which the question 'Do such
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ultrafilters exist?' is open. In this talk, I'll discuss the property
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of being preserved by some forcing that adds new reals. Some forcings
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destroy all ultrafilters, and some (in fact many) ultrafilters are
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destroyed whenever new reals are added, but it is consistent with ZFC
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that some ultrafilters are preserved when some kinds of reals are
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added. I plan to prove some of these things and describe the rest.
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I'll also describe a combinatorial characterization, due to Arnie
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Miller, of preservable ultrafilters.
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</p>
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<p><strong><a href=''>Video</a></strong></p>
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"
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excerpt_separator: <!--more-->
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talk: yes
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note: "<strong>12:15pm</strong> NY time<br>
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<font color='red' size='3'><strong>Virtual</strong> </font>(email <a href='mailto:vgitman@nylogic.org'>Victoria Gitman</a> for meeting id)<br>
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<strong>GC Room 6496</strong>
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"
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---

_posts/2022-04-22-set-theory-tba.html

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---
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layout: talk
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title: Set Theory Seminar
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talk_title: Do these ultrafilters exist, II&#58; not Tukey top
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categories: set-theory-seminar
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date: 2022-04-29
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semester: spring-2020
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speaker_first: Andreas
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speaker_last: Blass
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speaker_website:
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affiliation: University of Michigan
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abstract: "
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<p>This is the second of two talks devoted to two properties of
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ultrafilters (non-principal, on omega) for which the question 'Do such
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ultrafilters exist?' is open. In this talk, I'll discuss the property
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of not being at the top of the Tukey ordering (of ultrafilters on
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omega). I'll start with the definition of the Tukey ordering, and I'll
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give an example of an ultrafilter that is 'Tukey top'. It's consistent
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with ZFC that some ultrafilters are not Tukey top. The examples and
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the combinatorial characterizations involved here are remarkably
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similar but not identical to examples and the characterization from
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the previous talk. That observation suggests some conjectures, one of
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which I'll disprove if there's enough time.
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</p>
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<p><strong><a href=''>Video</a></strong></p>
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"
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excerpt_separator: <!--more-->
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talk: yes
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note: "<strong>12:15pm</strong> NY time<br>
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<font color='red' size='3'><strong>Virtual</strong> </font>(email <a href='mailto:vgitman@nylogic.org'>Victoria Gitman</a> for meeting id)<br>
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<strong>GC Room 6496</strong>
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"
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---

_posts/2022-04-29-set-theory-tba.html

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