| Talk_id | Date | Speaker | Title |
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29098
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Wednesday 9/8
4:00 PM
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Alexander Volberg, MSU
|
Drastic differences between the potential theories on trees and on multi-trees
- Alexander Volberg, MSU
- Drastic differences between the potential theories on trees and on multi-trees
- 09/08/2021
- 4:00 PM - 5:00 PM
- Online (virtual meeting)
(Virtual Meeting Link)
- Dapeng Zhan (zhan@msu.edu)
No abstract available.
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29099
|
Wednesday 9/15
4:00 PM
|
Kleinhenz, Perry, MSU
|
Stabilization rates for the damped wave equation with polynomial and oscillatory damping
- Kleinhenz, Perry, MSU
- Stabilization rates for the damped wave equation with polynomial and oscillatory damping
- 09/15/2021
- 4:00 PM - 5:00 PM
- Online (virtual meeting)
(Virtual Meeting Link)
- Dapeng Zhan (zhan@msu.edu)
In this talk I will discuss energy decay of solutions of the Damped wave equation. After giving an overview of classical results I'll focus on the torus with damping that does not satisfy the geometric control condition. In this setup properties of the damping at the boundary of its support determine the decay rate, however a general sharp rate is not known.
I will discuss damping which is 0 on a strip and vanishes either like a polynomial x^b or an oscillating exponential e^{-1/x} sin^2(1/x). Polynomial damping produces decay of the semigroup at exactly t^{-(b+2)/(b+3)}, while oscillating damping produces decay at least as fast as t^{-4/5+\delta} for any \delta>0. I will explain how these model cases are proved and how they direct further study of the general sharp rate.
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29122
|
Wednesday 9/22
4:00 PM
|
Ruoyu Wang , Northwestern
|
Boundary Stabilisation of Waves on Product Manifolds
- Ruoyu Wang , Northwestern
- Boundary Stabilisation of Waves on Product Manifolds
- 09/22/2021
- 4:00 PM - 5:00 PM
- Online (virtual meeting)
(Virtual Meeting Link)
- Dapeng Zhan (zhan@msu.edu)
Take a square and consider the damped waves with boundary damping $a>0$ on the top side only. We will discuss my recent result implying that the energy of those waves must uniformly decay no faster than $t^{-1/2}$, and no slower than it. We will also discuss this result in the context of product manifolds where the transverse geometric control is sufficient but not necessary for such energy decay.
Zoom passcode: A*****-P**
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29148
|
Wednesday 10/20
4:00 PM
|
Yizheng Yuan, TU Berlin
|
Refined regularity of SLE
- Yizheng Yuan, TU Berlin
- Refined regularity of SLE
- 10/20/2021
- 4:00 PM - 5:00 PM
- Online (virtual meeting)
(Virtual Meeting Link)
- Dapeng Zhan (zhan@msu.edu)
SLE (Schramm-Loewner evolution) is a family of random planar curves that have some natural conformal invariance properties. They appear in a variety of planar models that exhibit conformal invariance in the scaling limit. In this talk I will introduce SLE and describe its regularity. Regarding the regularity, the optimal Hoelder and p-variation exponents are known from previous works. I will present a new approach that refines the results to the logarithmic scale.
Zoom Passcode: A*****-P**
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29125
|
Wednesday 11/3
4:00 PM
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Xin Sun, University of Pennsylvania
|
Two types of integrability in Liouville quantum gravity
- Xin Sun, University of Pennsylvania
- Two types of integrability in Liouville quantum gravity
- 11/03/2021
- 4:00 PM - 5:00 PM
- Online (virtual meeting)
(Virtual Meeting Link)
- Dapeng Zhan (zhan@msu.edu)
There are two major resources of integrability in Liouville quantum gravity: conformal field theory and random planar maps decorated with statistical physics models. I will give a few examples of each type and explain how these two types are compatible. Recently, cutting and gluing random surfaces in LQG using SLE curves allows us to blend these two types of integrability to obtain exact results on Liouville conformal field theory, mating of trees, Schramm-Loewner evolution, and conformal loop ensemble. I will present a few results in this direction. Based on joint works with Morris Ang, Nina Holden and Guillaume Remy.
Zoom passcode: A*****-P**
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