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layout: talk
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title: Logic Workshop
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talk_title: Rich algebraic structures and weak second order logic
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categories: logic-workshop
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date: 2022-05-06
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semester: spring-2020
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speaker_first: Alexei
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speaker_last: Miasnikov
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speaker_website: "https://web.stevens.edu/algebraic/alexeim/"
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affiliation: Stevens Institute of Technology
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abstract: "
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<p>
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Stationary logic was introduced in the 1970’s. It allows the quantifier 'for almost all countable subsets s…'. Although it is undoubtedly a kind of second order logic, it is completely axiomatizable, countably compact and satisfies a kind of Downward Lowenheim-Skolem theorem. In this talk I give first a general introduction to the extension of first order logic by this 'almost all'-quantifier. As 'almost all' is interpreted as 'for a club of', the theory of this logic is entangled with properties of stationary sets. I will give some examples of this. The main reason to focus on this logic in my talk is to use it to build an inner model of set theory. I will give a general introduction to this inner model, called C(aa), or the aa-model, and sketch a proof of CH in the model. My work on the aa-model is joint work with Juliette Kennedy and Menachem Magidor.
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</p>
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​"
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excerpt_separator: <!--more-->
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talk: yes
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note: "<strong>2:00pm</strong> NY time<br>
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<font color='red' size='3'><strong>Hybrid </strong> </font>(email <a href='mailto:vgitman@nylogic.org'>Victoria Gitman</a> for meeting id)<br>
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<strong>GC Room TBA</strong>
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"
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---
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layout: talk
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title: Set Theory Seminar
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talk_title: Weak Indestructibility and Reflection
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categories: set-theory-seminar
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date: 2022-05-06
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semester: spring-2020
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speaker_first: James
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speaker_last: Holland
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speaker_website:
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affiliation: Rutgers University
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abstract: "
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<p>Assuming multiple of strong cardinals, there are lots of cardinals with small degrees of strength (i.e. $&#92;kappa$ that are $&#92;kappa$+2-strong). We can calculate the consistency strength of these all cardinal's small degrees of strength being weakly indestructible using forcing and core model techniques in a way similar to Apter and Sargsyan's previous work. This yields some easy relations between indestructibility and Woodin cardinals, and also generalizes easily to supercompacts. I will give a proof sketches of these results.</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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layout: talk
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title: Set Theory Seminar
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title: MOPA
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talk_title: TBA
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categories: set-theory-seminar
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date: 2022-05-06
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categories: MOPA
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date: 2022-05-31
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semester: spring-2020
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speaker_first: James
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speaker_last: Holland
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speaker_website:
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affiliation: Rutgers University
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speaker_first: Tin Lok
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speaker_last: Wong
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speaker_website: "https://blog.nus.edu.sg/matwong/"
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affiliation: National University of Singapore
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abstract: "
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<p><strong><a href=''>Video</a></strong></p>
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"
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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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note: "<strong>8:00pm</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)"
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