The Midwest Computability Seminar is a joint venture between the University of Chicago, the University of Notre Dame, and the University of Wisconsin-Madison. It meets once or twice per semester at the University of Chicago, and is attended by faculty and students from these universities and others in the area. The seminar started in the fall of 2008.

DATE: Tuesday, October 24, 2017.

PLACE: Ryerson Hall 352 (the Barn), The University of Chicago.

1100 East 58th Street, Chicago, IL 60637.

Speakers:

- Noah Schweber - University of Wisconsin

- Don Stull - Iowa State University

- Dan Turetsky - University of Notre Dame

- Rose Weisshaar - University of Notre Dame

- 12:00 - 1:00: Lunch
- 1:00 - 1:50: Noah Schweber

- 2:00 - 2:50: Don Stull

- 3:30 - 4:00: Rose Weisshaar

- 4:10 - 5:00: Dan Turestky

- 5:30 Dinner at Nella, 1125 E. 55th St.

Title: Computability and Banach-Mazur games

Abstract: We'll look at some questions around Banach-Mazur games. On the pure computability-theoretic side, after establishing the effectiveness of some basic facts about Banach-Mazur games we classify the functions computable from all winning strategies for some Banach-Mazur game as exactly the hyperarithmetic sets, using an analogue of Hechler forcing for building strategies. On the reverse mathematical side, we parallel this by showing that Borel Banach-Mazur determinacy is equivalent to ATR

Don Stull

Title: Effective dimension of points on lines

Abstract: This talk will cover recent work using Kolmogorov complexity to study the dimension of points on lines in the Euclidean plane and its application to important questions in fractal geometry. In particular, we will show that this work strengthens the lower bounds of the dimension of Furstenberg sets. We will also discuss future research and open problems in this area. This talk is based on joint work with Neil Lutz.

Dan Turetsky

Title: C.e. equivalence relations and the linear orders they realize

Abstract: Quotient structures are well studied. In the case of linear orders, it is known that the order-types realized by c.e. quotient structures are precisely those realized by Δ

Rose Weisshaar

Title: Countable ω-models of KP and paths through computable ω-branching trees

Abstract: It is well known that the Π

- Sept 23rd 2008 Antonio Montalbán - Logan Axon - Joe Miller
- Nov 11th 2008 Chris Conidis - Keng Meng (Selwyn) Ng - Peter Gerdes
- Feb 3rd 2009 David Diamondstone - Bart Kastermans - Richard A. Shore
- April 21st 2009 Dan Turetsky - Julia Knight - Ted Slaman
- Sept 29th 2009 Carl Jockusch - Rachel Epstein - Rebecca Weber
- Jan 26th 2010 Sara Quinn - John Wallbaum - Steffen Lempp - Reed Solomon
- May 11th 2010 Adam Day - Liang Yu - Rod Downey - Boris Zilber
- Sept 28th 2010 Maurice Chiodo - Peter Gerdes - Damir Dzhafarov - Andy Lewis
- Feb 15th 2011 Uri Andrews - Paola D'Aquino - David Diamondstone - Christopher Porter - Rebecca Steiner
- Nov 1st 2011 Mingzhong Cai - Chris Conidis - Stephen Flood - Jeff Hirst - Asher Kach
- Nov 15th 2012 Achilles Beros - Rod Downey - Jesse Johnson - Sam Sanders - Steven VanDendriessche - Matthew Wright
- April 2nd 2013 Howard Becker - Denis Hirschfeldt - Paul Schupp
- October 1st 2013 Peter Cholak - Mushfeq Khan - Victor Ocasio-González - Jonathan Stephenson
- April 29th, 2014 Rod Downey - Noam Greenberg - Gregory Igusa - Alexander Melnikov - Kyle Riggs
- September 30th, 2014 Eric Astor - Quinn Culver - Jack Lutz - Timothy McNicholl
- February 17th, 2015 Carl Jockusch - Julia Knight - Steffen Lempp
- January 28th, 2016 Reese Johnston - Rutger Kuyper - Marya Soskova - Mars Yamaleev
- October 22nd and 23rd, 2016 Special Meeting in Honor of Carl Jockusch's 75th Birthday
- March 16th, 2017 Greg Igusa - Jack Lutz - Sasha Melnikov - Reed Solomon

If you haven't been receiving the announcements and would like to be included in the list, send an email to drh@math.uchicago.edu.