added talk

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_posts/2022-08-12-asymptotic-classes-pseudofinite-cardinality-and-dimension.html

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+---
+layout: talk
+title: Model Theory Seminar
+talk_title: Asymptotic Classes, Pseudofinite Cardinality and Dimension
+categories: model-theory-seminar
+date: 2022-08-12
+semester: spring-2020
+speaker_first: Alex 
+speaker_last: van Abel
+speaker_website: 
+affiliation: CUNY
+abstract: "
+<p>
+We explore the consequences of various model-theoretic tameness conditions upon the behavior of pseudofinite cardinality and dimension. We show that for pseudofinite theories which are either Morley Rank 1 or uncountably categorical, pseudofinite cardinality in ultraproducts satisfying such theories is highly well-behaved. In the other direction, we construct simple and supersimple theories in which pseudofinite dimension is necessarily ill-behaved in all such ultraproducts. Additionally, we have novel results connecting various forms of asymptotic classes to each other and to their counting pairs.
+</p>
+<p><strong><a href=''>Video</a></strong></p>
+ ​"
+excerpt_separator: <!--more-->
+talk: yes
+note: "<strong>1:00pm</strong> NY time<br>
+<font color='red' size='3'><strong>Virtual</strong> </font>(email <a href='mailto:alfredo.dolich@kbcc.cuny.edu'>Alf Dolich</a> for meeting id)"
+---