Seminars & Colloquia Calendar
Compactness of {tex} \omega_1 {/tex}
Nam Trang , University of California  Irvine
Location: Hill 705
Date & time: Monday, 27 March 2017 at 5:00PM 

Nam Trang , University of California  Irvine 
"Compactness of {tex} omega_1 {/tex}" 
Time: 5:00 PM 
Location: Hill 705 
Abstract: We investigate various aspects of compactness of {tex} omega_1 {/tex} under ZF + DC (the Axiom of Dependent Choice). We say that omega_1 is Xsupercompact if there is a normal, fine, countably complete nonprincipal measure on {tex} powerset_{omega_1}(X) {/tex} (in the sense of Solovay). We say omega_1 is Xstrongly compact if there is a fine, countably complete nonprincipal measure on powerset_{omega_1}(X). A longstanding open question in set theory asks whether (under ZFC) "supercompactness" can be equiconsistent with "strong compactness. We ask the same question under ZF+DC. More specifically, we discuss whether the theories "omega_1 is Xsupercompact" and "omega_1 is Xstrongly compact" can be equiconsistent for various X. The global question is still open but we show that the local version of the question is false for various X. We also discuss various results in constructing and analyzing canonical models of AD^+ + omega_1 is Xsupercompact. 
R. Shapiro Organizer's Page
Eilidh McKemmie Charles Weibel Organizer's Page
Narek Hovsepyan and Ewerton Rocha Vieira Organizer's page
Ziming Shi, Sagun Chanillo, Xiaojun Huang, Chi Li, Jian Song Seminar website Old seminar website
Sepehr Assadi Seminar webpage
Jeffry Kahn, Bhargav Narayanan, Jinyoung Park Organizer's webpage
Robert DoughertyBliss and Doron Zeilberger > homepage
Paul Feehan, Daniel Ketover, Natasa Sesum Organizer's webpage
Lev Borisov, Emanuel Diaconescu, Angela Gibney, Nicolas Tarasca, and Chris Woodward Organizer's webpage
Hong Chen Seminar webpage
Fanxin Wu and Nkhalo Malawo Organizer's website
James Holland; Organizer website
Organizers: Maxime Van de Moortel and Avy Soffer. Organizer's Page
Yanyan Li, ZhengChao Han, Jian Song, Natasa Sesum Organizer's Webpage
Organizer: Luochen Zhao
Yanyan Li, ZhengChao Han, Natasa Sesum, Jian Song Organizer's Page
Lisa Carbone, YiZhi Huang, James Lepowsky, Siddhartha Sahi Organizer's webpage
Simon Thomas website
Kasper Larsen, Daniel Ocone and Kim Weston Organizer's page
Joel Lebowitz, Michael Kiessling
Yanyan Li, Dennis Kriventsov Organizer's Webpage
Alex V. Kontorovich, Vlada Sedláček seminar website
Stephen D. Miller
Organizers: Yanyan Li, Z.C. Han, Jian Song, Natasa Sesum
Kristen Hendricks, Xiaochun Rong, Hongbin Sun, Chenxi Wu Organizer's page
Fioralba Cakoni Seminar webpage
Organizer's webpage: Organizer's webpage
For information on the Statistical Mechanics Conference, visit HERE
 Show events from all categories
Special Note to All Travelers
Directions: map and driving directions. If you need information on public transportation, you may want to check the New Jersey Transit page.
Unfortunately, cancellations do occur from time to time. Feel free to call our department: 8484456969 before embarking on your journey. Thank you.