Entrance hall of the ICMS Workshop

New directions in the higher infinite

Jul 10, 2017 - Jul 14, 2017

ICMS, 15 South College Street

Organisers

Name Institution
Brooke-Taylor, Andrew University of Leeds
Dimopoulos, Stamatis University of Bristol
Viale, Matteo University of Torino
Welch, Philip University of Bristol

 

Set theory is a fundamental area of mathematics in which active research continues to open up exciting new lines of enquiry. 

 The aims of the workshop are to:

  • bring together young researchers working in pure and applied set theory

  • give the participants the opportunity to learn from four experts in the field, who will give tutorials on current research and present new directions

  • enhance the exchange of new ideas through discussion sessions

  • build and maintain a network of young set theorists and senior researchers, so as to establish working contacts and help disseminate knowledge

  • support local research by inviting established UK-based researchers

  • highlight the UK as a major location for work in set theory to the next generation of researchers

 

Tutorial speakers:

Joan Bagaria, Universitat de Barcelona
Matthew Foreman, University of California, Irvine
Grigor Sargsyan, Rutgers University
Asger Törnquist, University of Copenhagen

 

Invited speakers:

Carolin Antos, Kurt Gödel Research Center
David Asperó, University of East Anglia
Mirna Džamonja, University of East Anglia
Silvia Steila, University of Bern
Thilo Weinert, Ben-Gurion-University of the Negev
Trevor Wilson, Miami University

 

Download a pdf of the workshop poster.

View and download the workshop group photos.

 

The organisers gratefully acknowledge the financial support of ICMS, Foundation Compositio, University of Torino and University of Leeds for making this workshop possible.

  

 

Arrangements

This workshop will begin with Registration at 09.00 on Monday 10 July and close at lunchtime on Friday 14 July. 

 

PARTICIPATION
The workshop is now closed.

 

REGISTRATION FEES
A 270 GBP registration is payable for all except Invited Speakers and Organisers.


VENUE
The workshop will be held at ICMS, 15 South College Street, Edinburgh. You may find this map useful for the workshop.

 

TALKS AND AUDIO/VISUAL EQUIPMENT
All talks will be held in the Newhaven Lecture Theatre.  The lecture theatre has a built in computer, data projector, and visualiser/document camera.  In addition, there are two blackboards.  The projector and one board may be used simultaneously.  We advise Speakers that, where possible, you bring your talk on a memory stick/USB to put onto our computer in advance of your session - either at the start of the day or during coffee/lunch breaks.   ICMS staff can help with this.   It is possible for you to use your own laptops but it is then your own responsibility to ensure that resolutions are changed on the laptops if necessary (ICMS will not change the resolution on our equipment).   If you use a MAC we expect you to bring your own adaptor. 

 

POSTER SESSION
There will be a poster session following the talks on Monday 10 July.  During the poster session, wine and nibbles will be served.   Please see here for full information about the poster session

 

UK VISAS
If you are travelling from overseas you may require an entry visa. A European visa does not guarantee entry to the UK. Please use this link to the UK Visas site to find out if you need a visa and if so how to apply for one.

 

TRAVEL
Information about travel to the UK and Edinburgh is available here.

Please note that it is your responsibility to have adequate travel insurance to cover medical and other emergencies (volcanic ash disruptions) that may occur on your trip.

A taxi directly from the airport will cost approximately 20.00 to 25.00 GBP to the city centre for a one-way journey.     There is also a bus service direct from the airport to the city centre which will cost 4.50 GBP single or 7.50 GBP return - the Airlink 100.  This is a frequent service (every 10 minutes during peak times) and will bring you close to Waverley Railway Station, only a short walk to the accommodation and the workshop venue (see map in 'Venue' section above). 

Lothian buses charge £1.60 for a single, £4.00 for a day ticket. Please note that the exact fare is required and no change is given.

If travelling by train, please note that Edinburgh has several railway stations - Waverley Railway Station being the main station and closest to the workshop venue at 15 South College Street.  If you alight at Edinburgh Waverley, the workshop venue is an easy 10 minute walk over North and South Bridge. The second large railway station is called Haymarket and is at the West End of the city centre.    Please be aware that there is also an Edinburgh Park railway station but this is at the west side of the city some way from the city centre.  For ICMS, use Edinburgh Waverley.

 

ENQUIRIES
If you have questions regarding your participation in this workshop please contact:   YoungSetTheory2017@gmail.com

Administrative enquiries regarding practical arrangements in Edinburgh should be sent to:   audrey (dot) mccrorie@icms.org.uk

 

Programme

PDF of all Abstracts, Poster Titles and Research Statements.

Please continue to check this Programme as any alterations will be notified here.  

Monday 10 July 2017

09.00-10.00

Registration & coffee in the Chapterhouse, Level 1

10.00-11.00

TUTORIAL TALK (PART 1)
Joan Bagaria (
ICREA & Universitat de Barcelona)
Large cardinals as reflection principles: a general framework
PDF of Joan Bagaria's presentations

11.00-11.30

Coffee/Tea in the Chapterhouse

11.30-12.30

TUTORIAL TALK (PART 2)
Joan Bagaria (
ICREA & Universitat de Barcelona)
Large cardinals as reflection principles: a general framework

12.30-14.00

Lunch provided in the Chapterhouse

14.00-15.00

Mirna Džamonja (University of East Anglia)
Combinatorics and forcing at the successor of a singular cardinal

15.00-16.00

TUTORIAL TALK (PART 1)
Matthew Foreman
(University of California, Irvine)
Anticlassification results in ergodic theory
Click here for a link to Matthew Foreman's slides and manuscript

16.00-16.30

Coffee/Tea in the Chapterhouse

16.30-17.30

TUTORIAL TALK (PART 2)
Matthew Foreman
(University of California, Irvine)
Anticlassification results in ergodic theory

17.30-19.00

Poster session and informal wine reception.  

 

Tuesday 11 July 2017

09.00-10.00

TUTORIAL TALK (PART 3)
Joan Bagaria (
ICREA & Universitat de Barcelona)
Large cardinals as reflection principles: a general framework

10.00-11.00

TUTORIAL TALK (PART 4)
Joan Bagaria (
ICREA & Universitat de Barcelona)
Large cardinals as reflection principles: a general framework

11.00-11.30

Coffee/Tea in the Chapterhouse

11.30-12.30

David Asperó (University of East Anglia)
Generic absoluteness for Chang models

12.30-14.00

Lunch provided in the Chapterhouse

14.00-15.30

Discussion session

15.30-16.00

Coffee/Tea in the Chapterhouse

16.00-17.00

TUTORIAL TALK (PART 3)
Matthew Foreman
(University of California, Irvine)
Anticlassification results in ergodic theory

17.00-18.00

TUTORIAL TALK (PART 4)
Matthew Foreman
(University of California, Irvine)
Anticlassification results in ergodic theory

 

Wednesday 12 July 2017

09.00-10.00

TUTORIAL TALK (PART 1)
Grigor Sargsyan
(Rutgers University)
Gentle introduction to descriptive inner model theory

10.00-11.00

TUTORIAL TALK (PART 2)
Grigor Sargsyan
(Rutgers University)
Gentle introduction to descriptive inner model theory

11.00-11.30

Coffee/Tea in the Chapterhouse

11.30-12.30

Trevor Wilson (Miami University)
The perfect set property for universally Baire sets of reals

12.30

Free afternoon

19.00

Workshop dinner: the Prestonfield Room, John McIntyre Conference Centre, Pollock Halls of Residence, Holyrood Park Road, Edinburgh

 

Thursday 13 July 2017

09.00-10.00

TUTORIAL TALK (PART 1)
Asger Törnquist (University of Copenhagen)
Almost disjoint and eventually different families

10.00-11.00

TUTORIAL TALK (PART 2)
Asger Törnquist (University of Copenhagen)
Almost disjoint and eventually different families

11.00-11.30

Coffee/Tea in the Chapterhouse

11.30-12.30

Thilo Weinert (Ben-Gurion-University of the Negev)
Cardinal characteristics and partition relations

12.30-14.00

Lunch provided in the Chapterhouse

14.00-15.30

Discussion session

15.30-16.00

Coffee/Tea in the Chapterhouse

16.00-17.00

TUTORIAL TALK (PART 3)
Grigor Sargsyan
(Rutgers University)
Gentle introduction to descriptive inner model theory

17.00-18.00

TUTORIAL TALK (PART 4)
Grigor Sargsyan
(Rutgers University)
Gentle introduction to descriptive inner model theory

 

Friday 14 July 2017

09.00-10.00

TUTORIAL TALK (PART 3)
Asger Törnquist (University of Copenhagen)
Almost disjoint and eventually different families

10.00-11.00

TUTORIAL TALK (PART 4)
Asger Törnquist (University of Copenhagen)
Almost disjoint and eventually different families

11.00-11.30

Coffee/Tea in the Chapterhouse

11.30-12.30

Silvia Steila (University of Bern)
Playing with equivalent forms of CH

12.30

Close of workshop

 

PDF of all Abstracts, Poster Titles and Research Statements.

 

Presentations:

Presentation Details
Asperó, David
INVITED TALK: Generic absoluteness for Chang models
View Abstract Down
Bagaria, Joan
TUTORIAL TALK: Large cardinals as reflection principles: a general framework
View Abstract Down
Džamonja, Mirna
INVITED TALK: Combinatorics and forcing at the successor of a singular cardinal
View Abstract Down
Foreman, Matthew
TUTORIAL TALK: Anticlassification results in ergodic theory
View Abstract Down
Honzik, Radek
POSTER: The tree property with a large gap (joint poster with Sarka Stejskalova)
Inselmann, Manuel
POSTER: Incompatible actions of locally compact groups
Klausner, Lukas Daniel
POSTER: Countable support products of creature forcings
Kwela, Adam
POSTER: Erdos-Ulam ideals vs. simple density ideals
Kwela, Marta
POSTER: Ideals of nowhere dense sets in some topologies on integers
Riis, Milette
POSTER: The generalised shift graph
Sargsyan, Grigor
TUTORIAL TALK: Gentle introduction to descriptive inner model theory
View Abstract Down
Schumacher, Salome
POSTER: Magic sets
Steila, Silvia
INVITED TALK: Playing with equivalent forms of CH
View Abstract Down
Stejskalova, Sarka
POSTER: The tree property with a large gap (joint poster with Radek Honzik)
Swaczyna, Jarosław
POSTER: Introduction to Haar-small sets
Törnquist, Asger
TUTORIAL TALK: Almost disjoint and eventually different families
View Abstract Down
Verner, Jonathan
POSTER: Chains of P-points
Weinert, Thilo
Cardinal characteristics and partition relations
View Abstract Down
Wilson, Trevor
The perfect set property for universally Baire sets of reals
View Abstract Down

Participants

Name Institution
Allison, Shaun Carnegie Mellon University
Asperó, David University of East Anglia
Bagaria, Joan ICREA & Universitat de Barcelona
Barker, Carolyn University of Leeds
Basso, Gianluca Université de Lausanne & Università di Torino
Baumhauer, Thomas Technische Universität Wien
Brickhill, Hazel University of Bristol
Brooke-Taylor, Andrew University of Leeds
Calderoni, Filippo Università di Torino
Castiblanco, Fabiana Universität Münster
Chen, William Ben-Gurion University of the Negev
De Bondt, Ben Ghent University
Dimopoulos, Stamatis University of Bristol
Džamonja, Mirna University of East Anglia
Erlebach, Ben University of Cambridge
Foreman, Matthew University of California, Irvine
Gappo, Takehiko Tokyo university
Glazer, Elliot Rutgers University
Guichardaz, Fiorella University of Freiburg
Gullà, Gabriel University of Roma-Tor Vergata
Holy, Peter University of Bonn
Honzik, Radek Charles University
Howe, John University of Leeds
Inselmann, Manuel Universität Wien
Klausner, Lukas Daniel TU Wien
Koelbing, Marlene KGRC, University of Vienna
Kwela, Adam University of Gdańsk
Kwela, Marta University of Gdańsk
Le Sueur, Chris University of East Anglia
Lischka, Marc ETH Zürich
Nielsen, Dan Saattrup University of Bristol
Njegomir, Ana University of Bonn
Panasawatwong, Supakun University of Leeds
Parente, Francesco University of East Anglia
Passmann, Robert University of Amsterdam
Poór, Márk Eötvös University, Budapest
Poveda, Alejandro Universitat de Barcelona
Quorning, Vibeke University of Copenhagen
Riis, Milette University of Leeds
Sargsyan, Grigor Rutgers University
Schoem, Noah University of Illinois at Chicago
Schumacher, Salome ETH Zürich
Scott, Isabella University of St Andrews/ University of Toronto
Shinko, Forte McGill University
Sobota, Damian Universität Wien
Steila, Silvia University of Bern
Stejskalova, Sarka Charles University
Swaczyna, Jarosław Łódź University of Technology
Tonti, Fabio Elio Vienna University of Technology
Törnquist, Asger University of Copenhagen
Vaccaro, Andrea University of Pisa
Valencia, Luis Universitat of Barcelona
Verner, Jonathan Charles University
Vuilleumier, Louis Université de Lausanne
Weinert, Thilo Ben-Gurion-University of the Negev
Welch, Philip University of Bristol
Wilson, Trevor Miami University
Wohofsky, Wolfgang Universität Hamburg