Analysis and Geometry of Random Shapes - IPAM

Analysis and Geometry of Random Shapes

January 7 - 11, 2019

Schedule

All times in this Schedule are Pacific Time (PT)

Monday, January 7, 2019

Morning Session

08:30-09:20
Check-In/Breakfast (Hosted by IPAM)
09:20-09:30
Welcome and Opening Remarks
09:30-10:20
Gregory Lawler (University of Chicago)
Random walk loop measures, partition functions, and multiple SLEs
10:30-11:00
Break
11:00-11:50
Stephane Benoist (Massachusetts Institute of Technology)
Conformally invariant measures on simple loops

Afternoon Session

12:00-14:00
Lunch (on your own)
14:00-14:50
Christopher Bishop (SUNY Stony Brook)
Random thoughts on random sets
15:00-15:30
Break
15:30-16:20
Amanda Turner (Lancaster University)
Scaling limits for planar aggregation with subcritical fluctuations
16:30-17:00
Group Discussion
17:00-18:30
Poster Session & Reception (Hosted by IPAM)

Tuesday, January 8, 2019

Morning Session

08:30-09:30
Check-In/Breakfast (Hosted by IPAM)
09:30-10:20
Kari Astala (Aalto University)
Part 1: Random tilings, free boundary problems and the Beltrami equation
10:30-11:00
Break
11:00-11:50
Malik Younsi (University of Hawaii at Manoa)
Removability, rigidity of circle domains and Koebe's conjecture

Afternoon Session

12:00-14:00
Lunch (on your own)
14:00-14:50
Yilin Wang (ETH Zurich)
Part 1: Loewner energy via Brownian loop measure and action functional analogs of SLE/GFF couplings
15:00-15:30
Break
15:30-16:20
Kari Astala (Aalto University)
Part 2: Random tilings, free boundary problems and the Beltrami equation
16:30-17:30
Group Discussion

Wednesday, January 9, 2019

Morning Session

08:30-09:30
Check-In/Breakfast (Hosted by IPAM)
09:30-10:20
Ilia Binder (University of Toronto)
The polynomial rate of convergence of critical interfaces
10:30-10:45
Break
10:45-11:35
Yilin Wang (ETH Zurich)
Part 2: Loewner energy via Brownian loop measure and action functional analogs of SLE/GFF couplings
11:45-12:00
Break

Afternoon Session

12:00-12:50
Mathav Murugan (University of British Columbia)
Quasisymmetric uniformization and heat kernel estimates
13:00-14:00
Lunch (on your own)
14:00-14:00
Afternoon Free

Thursday, January 10, 2019

Morning Session

08:30-09:30
Check-In/Breakfast (Hosted by IPAM)
09:30-10:20
Nikolai Makarov (California Institute of Technology)
Calculus on Riemann surfaces
10:30-11:00
Break
11:00-11:50
Peter Lin (University of Washington)
Conformal welding of dendrites

Afternoon Session

12:00-14:00
Lunch (on your own)
14:00-14:50
Jun Kigami (Kyoto University)
Weakly exponential measures and time changes of the Brownian motion.
15:00-15:30
Break
15:30-16:20
Daniel Meyer (University of Liverpool)
Uniformization of quasitrees
16:30-17:30
Discussion: Future Directions

Friday, January 11, 2019

Morning Session

08:30-09:30
Check-In/Breakfast (Hosted by IPAM)
09:30-09:50
Atul Shekhar (Royal Institute of Technology (KTH))
Some remarks on Loewner quasi-slits and other deterministic Loewner chains
10:00-10:20
Eveliina Peltola (The University of Geneva)
Crossing Probabilities of Multiple Ising Interfaces
10:30-11:00
Break
11:00-11:50
Huy Tran (Technische Universität Berlin)
Holomorphic motion of Loewner curves

Afternoon Session

12:00-14:00
Lunch (on your own)
14:00-14:50
Nina Holden (ETH Zürich)
Natural measures on random fractals
15:00-03:15
Break
15:15-16:45
Group Discussion
16:45-16:45
Conclusion
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