Distinguished Lecture Series 2010 - 2011 |
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Ehud Hrushovski
Hebrew University
Ehud Hrushovski is a mathematical logician. He is a Professor of Mathematics at the Hebrew University of Jerusalem. His father, Benjamin Harshav, is Emeritus Professor in Yale University and Tel Aviv University to Comparative Literature and a poet.
Hrushovski is well known for his work in model theory, in particular in the branch that has become known as geometric model theory; and for the applications he has made of it to Diophantine geometry, including the Mordell-Lang conjecture. He is a fellow of the American Academy of Arts and Sciences (2007), and Israel Academy of Sciences and Humanities (2008).
Source: Wikipedia |
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The logic of large finite structures
Large finite structures often display very regular behavior when small, sporadic phenomena are ignored. Examples include Szemeredi's regularity lemma in graph theory, the classification of highly transitive finite group actions, and the Lang-Weil estimates for algebraic varieties over large finite fields. Model theory proposes an infinite limit object where the asymptotic rules governing the situation can be clearly seen, in terms of certain measure and dimension theories. Notions and tools developed for quite different questions - initially, to study categoricity in uncountable powers - appear to be relevant for analyzing these structures. Most recently, the basic ideas of this approach have proved useful in the study of approximate subgroups, pointing to a new connection to Lie groups.
In the first talk, I will describe the basic model-theoretic framework and some of the results. In the second and third talks, I will go into more detail and describe some of the model-theoretic background.
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Lectures
- April 26, 2011 - Tuesday @ 2:00 - 3:00 pm in MS 6627
- April 27, 2011 - Wednesday @ 2:00 - 3:00 pm in MS 6627
- April 28, 2011 - Thursday @ 3:00 - 4:00 pm in MS 6627
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