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Dear Colleague,

We are writing to inform you about the 2019 Park City Mathematics Institute
(PCMI) program "Quantum Field Theory and Manifold Invariants", which will
take place June 30 - July 20, 2019 in Park City.  PCMI is a vertically
integrated institute: there is a Research Program, a Graduate Summer School,
and various programs related to undergraduate students and faculty as well as
a program for K-12 teachers.  Therefore, we encourage you to share this
message with colleagues, postdocs, and graduate students.

The Research Program offers large blocks of unstructured time for
collaboration as well as organized seminars.  New and recent PhDs are
especially encouraged to apply as are small groups of collaborators from
geographically separate areas.  For more information, see:

          https://www.ias.edu/pcmi/rp2019

The highly structured Graduate Summer School consists of several related
minicourses:

1.  Introduction to Gauge Theory (Andriy Haydys)
2.  Introduction to Knot Theory (Jake Rasmussen)
3.  Heegaard Floer Homology (Jennifer Hom)
4.  Topological Quantum Field Theories/Knots and BPS states (Pavel Putrov)   
5.  Bordism categories, invertible field theories, and characteristic classes of smooth 
bundles  (Soren Galatius)
6.  BPS States and Spectral Networks (Andy Neitzke)
7.  Advanced topics in (mathematical) gauge theory/Higgs bundles (Laura Schaposnik) 
8.  Floer homology (Tom Mrowka)


  They vary in level of preparation needed, and the schedule is
designed so there are good opportunities for students just entering the field
as well as courses suitable for more advanced students.  Each course is
accompanied by a daily problem session, structured to help students develop
facility with the material.  For more information, as well as course
descriptions, see:

 	  https://www.ias.edu/pcmi/gss2019

The PCMI website

    	  https://www.ias.edu/pcmi/

has much more information about the entire institute.  

Everyone must apply!  Applications are due on January 15.  For the Research
Program application, go to:

	  https://www.ias.edu/pcmi/rpapply

For the Graduate Summer School application, go to:

          https://www.ias.edu/pcmi/gssapply

Park City is in the Wasatch Range of the Rocky Mountains.  It is a beautiful
location with many recreational opportunities to supplement the mathematical
activities.  

Again, please share this message with your students, postdocs, and
colleagues.  We hope to see you in Park City this summer.

Best wishes,

Dan Freed
Sergei Gukov
Ciprian Manolescu
Constantin Teleman
Ulrike Tillmann

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