Algebra Seminar

Friday, April 6, 2018
1:20 PM - 4:00 PM (ET)
Exley Science Center Tower ESC 618
Event Type
Seminar/Colloquium
Contact
Canalia, Caryn
2182
Link
https://eaglet.wesleyan.edu/MasterCalendar/EventDetails.aspx?EventDetailId=79066

Cameron Hill, Wesleyan

Some thoughts on probability measures as varieties.

Abstract: There are special infinite structures (graphs and hyper-graphs) that reflect the asymptotic first-order properties of their finite induced substructures very, very accurately. Exactly what makes these infinite structures special can be described model-theoretically in terms super-simplicity or in terms of higher amalgamation properties of the finite substructures. Using machinery from functional analysis, I have proved that model-theoretic specialness yields certain nice probability measures with which you then perform your asymptotic analyses. I don’t fully understand what these measures are really like, and I imagine that some algebraic geometry might provide a more concrete transformation from higher amalgamation properties to measures. I will describe a possible set up for this.


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