Institute for Mathematical Sciences Event Archive

Collaborative Research and Workshop

(20 May - 14 June 2019)

in celebration of the research work of Professors Theodore A. Slaman and W. Hugh Woodin
Venue: IMS Auditorium
PDF Abstracts

Tuesday, 21 May 2019

09:15am - 09:30amRegistration
09:30am - 10:30am

Distinguished Visitor Lecture Series:

Finding randomness

(PDF) (Video)



Theodore A. Slaman
University of California, Berkeley, USA
10:30am - 11:00amGroup Photo & Coffee Break
11:00am - 12:00pm

Uniform Martin's conjecture, locally

(PDF) (Video)



Vittorio Bard
Università Degli Studi Di Torino, Italy
12:00pm - 02:00pmLunch Reception at IMS
02:00pm - 03:00pm

Tutorial on hyperarithmetic sets and computable structure theory

(PDF) (Videos)



Antonio Montalban
University of California, Berkeley, USA
03:00pm - 03:30pmCoffee Break
03:30pm - 04:30pm

Tutorial on hyperarithmetic sets and computable structure theory

(PDF) (Videos)



Antonio Montalban
University of California, Berkeley, USA

Thursday, 23 May 2019

09:15am - 09:30amRegistration
09:30am - 10:30am

Turing degrees of hyperjumps

(PDF) (Video)



Stephen G. Simpson
Vanderbilt University, USA
10:30am - 11:00amCoffee Break
11:00am - 12:00pm

Foundations of online model theory

(PDF)



Rod Downey
Victoria University of Wellington, NZ
12:00pm - 02:00pmLunch Break
02:00pm - 03:00pm

Tutorial on hyperarithmetic sets and computable structure theory

(PDF) (Videos)



Antonio Montalban
University of California, Berkeley, USA
03:00pm - 03:30pmCoffee Break
03:30pm - 04:30pm

Tutorial on hyperarithmetic sets and computable structure theory

(PDF) (Videos)



Antonio Montalban
University of California, Berkeley, USA

Friday, 24 May 2019

09:15am - 09:30amRegistration
09:30am - 10:30am

BQO-Wadge degrees on nonseparable ultrametric spaces and computability on uncountable cardinals

(PDF) (Video)



Takayuki Kihara
Nagoya University, Japan
10:30am - 11:00amCoffee Break
11:00am - 12:00pm

Caristi's theorem and approximating π11 comprehension

(PDF) (Video)



Henry Towsner
University of Pennsylvania, USA
12:00pm - 02:00pmLunch Break
02:00pm - 03:00pm

SRT22 vs RT22 in ω-models

(PDF)



Benoît Monin
LACL, Créteil University, France

Monday, 27 May 2019

09:15am - 09:30amRegistration
09:30am - 10:30am

Distinguished Visitor Lecture Series:

Finding better randomness

(PDF) (Video)



Theodore A. Slaman
University of California, Berkeley, USA
10:30am - 11:00amCoffee Break
11:00am - 12:00pm

True stages and hyperarithmetic isomorphisms

(PDF) (Video)



Noam Greenberg
Victoria University of Wellington, New Zealand

Tuesday, 28 May 2019

09:15am - 09:30amRegistration
09:30am - 10:30am

The enumeration degrees: an overview

(PDF)



Mariya Soskova
University of Wisconsin–Madison, USA
10:30am - 11:00amCoffee Break
11:00am - 12:00pm

Relativizing to an enumeration oracle

(PDF)



Joe Miller
University of Wisconsin–Madison, USA
12:00pm - 02:00pmLunch Break
02:00pm - 03:00pm

On Σ-preorderings over the reals

(PDF)



Andrey Morozov
Sobolev Institute of Mathematics, Novosibirsk State University, Russia
03:00pm - 03:30pmCoffee Break
03:30pm - 04:30pm

Coding in graphs and linear orderings

(PDF)



Alexandra A. Soskova
Sofia University, Bulgaria

Thursday, 30 May 2019

09:15am - 09:30amRegistration
09:30am - 10:30am

A completeness criterion for Borel sets

(PDF) (Video)



Adam Day
Victoria University of Wellington, New Zealand
10:30am - 11:00amCoffee Break
11:00am - 12:00pm

Determined Borel sets and measurability

(PDF) (Video)



Linda Brown Westrick
Pennsylvania State University, USA

Friday, 31 May 2019

09:15am - 09:30amRegistration
09:30am - 10:30am

SRT22 vs RT22 in ω-models

(PDF)



Benoît Monin
LACL, Créteil University, France
10:30am - 11:00amCoffee Break
11:00am - 12:00pm

Complexity of maximal objects

(PDF)



Joerg Brendle
Kobe University, Japan

Monday, 03 Jun 2019

09:15am - 09:30amRegistration
09:30am - 10:30am

Σ11 in every real in a Σ11 class or reals is Σ11

(PDF) (Video)



Richard A. Shore
Cornell University, USA
10:30am - 11:00amCoffee Break
11:00am - 12:00pm

Decision problems in Borel combinatorics

(PDF) (Video)



Su Gao
University of North Texas , USA
12:00pm - 02:00pmLunch Break
02:00pm - 03:00pm

The implicitly constructible universe

(PDF)



Marcia Groszek
Dartmouth College, USA
03:00pm - 03:30pmCoffee Break
03:30pm - 04:30pm

Randomness notions for infinite time Turing machines

(PDF)



Philipp Schlicht
University of Bristol, UK
04:30pm - 05:30pm

Measurable Hall's theorem for actions of abelian groups

(PDF)



Marcin Sabok
McGill University, Canada

Tuesday, 04 Jun 2019

09:15am - 09:30amRegistration
09:30am - 10:30am

Polishable equivalence relations

(PDF) (Video)



Slawomir Solecki
Cornell University, USA
10:30am - 11:00amCoffee Break
11:00am - 12:00pm

Definable unions of smooth equivalence relations

(PDF)



Stephen Jackson
University of North Texas, USA
12:00pm - 02:00pmLunch Break
02:00pm - 03:30pm

Tutorial on AD+

(Videos)



Paul Larson
Miami University, USA
03:30pm - 04:00pmCoffee Break
04:00pm - 05:00pm

Effective metric Scott analysis

(PDF)



Andre Nies
The University of Auckland, New Zealand

Thursday, 06 Jun 2019

09:15am - 09:30amRegistration
09:30am - 10:30am

Distinguished Visitor Lecture Series:

A new basis theorem for ∑13 sets

(PDF) (Video)



W. Hugh Woodin
Harvard University, USA and University of California, Berkeley, USA
10:30am - 11:00amGroup Photo & Coffee Break
11:00am - 11:30am

Permutations of the integers, automorphisms of the Turing degrees, and arithmetically presentable groups

(PDF)



Bjorn Kjos-Hansseen
University of Hawai'i at Mānoa , USA
11:30am - 02:00pmLunch Break
02:00pm - 03:30pm

Tutorial on AD+

(Videos)



Paul Larson
Miami University, USA
03:30pm - 04:30pm

Uniform reductions in computable structure theory

(PDF)



Noah Schweber
University of Wisconsin–Madison, USA
06:30pmBanquet Dinner
Kent Ridge Guild House, Cluny and Dalvey Room
Address: 9 Kent Ridge Drive, Singapore 119241

Friday, 07 Jun 2019

09:15am - 09:30amRegistration
09:30am - 10:30am

Quasi-inductive definitions and generalised recursion in higher types



Philip Welch
University of Bristol, UK
10:30am - 11:00amCoffee Break
11:00am - 12:00pm

Indiscernibles for L[T3]

(PDF)



Yizheng Zhu
University of Chinese Academy of Sciences, China
12:00pm - 02:00pmLunch Break
02:00pm - 03:00pm

Some applications of recursion theoretical methods to set theory

(PDF)



Liang Yu
Nanjing University, China

Monday, 10 Jun 2019

09:15am - 09:30amRegistration
09:30am - 10:30am

Distinguished Visitor Lecture Series:

Counting Woodin cardinals in HOD

(PDF) (Video)



W. Hugh Woodin
Harvard University, USA and University of California, Berkeley, USA
10:30am - 11:00amCoffee Break
11:00am - 12:00pm

Are all singular cardinals born equal? The case of ℵω and ℵω2

(PDF) (Video)



Menachem Magidor
The Hebrew University of Jerusalem, Israel
12:00pm - 02:00pmLunch Reception at IMS
02:00pm - 03:00pm

On the minimal size of a basis for uncountable linear order

(PDF)



Liuzhen Wu
Chinese Academy of Sciences, China

Tuesday, 11 Jun 2019

09:15am - 09:30amRegistration
09:30am - 10:30am

Mouse pairs and Suslin cardinals

(PDF) (Video)



John R. Steel
University of California, Berkeley, USA
10:30am - 11:00amCoffee Break
11:00am - 12:00pm

Algebraic properties of elementary embeddings

(PDF)



Scott Cramer
California State University, San Bernardino , USA
12:00pm - 02:00pmLunch Break
02:00pm - 03:30pm

Tutorial on AD+

(Videos)



Paul Larson
Miami University, USA

Thursday, 13 Jun 2019

01:45pm - 02:00pmRegistration
02:00pm - 03:30pm

Tutorial on AD+

(Videos)



Paul Larson
Miami University, USA
03:30pm - 04:00pmCoffee Break
04:00pm - 05:00pm

MM++ implies (*)

() (Video)



Ralf Schindler
Universität Münster, Germany
06:30pm - 07:30pm

Public Lecture:

Can every mathematical problem be solved?



Menachem Magidor
The Hebrew University of Jerusalem, Israel

Friday, 14 Jun 2019

09:15am - 09:30amRegistration
09:30am - 10:30am

On the preservation of very large cardinals under class forcing

(PDF)



Joan Bagaria
Universitat de Barcelona, Spain
10:30am - 11:00amCoffee Break
11:00am - 12:00pm

Choiceless set-theoretic geology

(PDF)



Toshimichi Usuba
Waseda University, Japan
12:00pm - 02:00pmLunch Break
02:00pm - 03:00pm

Extending filters to ultrafilters

(Video)



Moti Gitik
Tel Aviv University , Israel