Toronto Set Theory Seminar (schedule change)

Toronto Set Theory Seminar
Friday, June 17 from 1:30 to 3pm
Fields Institute, Room 210

Speaker: Dilip Raghavan (Fields)

Title: Weak squares

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Friday, June 24 from 1:30 to 3pm
Fields Institute, Room 210

Speaker: Peter Krautzberger (Michigan)

Title: Union ultrafilters are fascinating — a survey

One response to “Toronto Set Theory Seminar (schedule change)”

1. Samuel Coskey

Peter has provided a preliminary outline:

70s — On the way to Hindman’s Theorem
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* 60s: Folkman/Rado/Sanders and the finitary version
* 70 Galvin’s unpublished proof assuming “special” ultrafilters
* 72 Hindmans CH-construction of “special” ultrafilters
* 74 Hindman’s Theorem
* 75 Galvin meets Glazer

80s — Union ultrafilters
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* 85 van Douwen asks a question
* 87 Blass introduces union ultrafilters
* stable ordered union ultrafilters
* complete combinatorics
* 87 Blass+Hindman
* union ultrafilters == strongly summable ultrafilters
* independence

90s — Applications in $(beta mathbb{N}, +)$.
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* 91 Hindman: the maximal group is minimal
* 95 Hindman+Strauss: the trivial sums property

00s — Applications in set theory
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* 02 Eisworth:
* the core of a union ultrafilter
* Matet Forcing with stable ordered union ultrafilters
* 09 Mildenberger+Shelah: separating NCF and FD