Talk_id | Date | Speaker | Title |
29041
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Wednesday 3/24 4:00 PM
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Alexander Volberg, MSU
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Weighted Poincare inequality and discrete potential theory on graphs with cycles
- Alexander Volberg, MSU
- Weighted Poincare inequality and discrete potential theory on graphs with cycles
- 03/24/2021
- 4:00 PM - 5:00 PM
- Online (virtual meeting)
(Virtual Meeting Link)
- Dapeng Zhan (zhan@msu.edu)
TBD
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29043
|
Wednesday 3/31 4:00 PM
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Peter Yuditskii, Johannes Kepler University Linz
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The Deift conjecture
- Peter Yuditskii, Johannes Kepler University Linz
- The Deift conjecture
- 03/31/2021
- 4:00 PM - 5:00 PM
- Online (virtual meeting)
(Virtual Meeting Link)
- Dapeng Zhan (zhan@msu.edu)
At his 60th birthday conference in 2005, Percy Deift was asked to present a list of unsolved problems. This list was updated ten years later, on his 70th birthday conference. As the number one unsolved problem in both lists we still have the following conjecture.
Problem 1.1 (KdV with almost periodic initial data). Consider the Korteweg–de Vries (KdV) equation
$$u_t +uu_x +u_{xxx} =0 $$
with initial data
$$u(x,t=0)=q(x),\quad x\in\mathbb{R}.$$
In the 1970’s, McKean and Trubowitz proved the remarkable result that if the initial data $q(x)$ is periodic, $q(x + T ) = q(x)$ for some $T > 0$, then the solution $u(x, t)$ is almost periodic in time. This result leads to the following natural conjecture: The same is true if $q(x)$ is almost periodic, i.e., if the initial data is almost periodic in space, the solution evolves almost periodically in time.
Zoom Link:
https://msu.zoom.us/j/94297154840
Passcode: the same as the last time
|
29050
|
Wednesday 4/7 4:00 PM
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Dapeng Zhan, MSU
|
Schramm-Loewner evolution and hypergeometric functions
- Dapeng Zhan, MSU
- Schramm-Loewner evolution and hypergeometric functions
- 04/07/2021
- 4:00 PM - 5:00 PM
- Online (virtual meeting)
(Virtual Meeting Link)
- Dapeng Zhan (zhan@msu.edu)
Schramm-Loewner evolution (SLE for short) is a family of random fractal curves, which describe the scaling limits of some lattice models. When one studies SLE with additional marked points, and requires that those SLE satisfy certain nice properties, some special functions come into play. They arise as the solution of some second-order partial differential equations. In this talk, I will describe how the one-variable and multi-variable hypergeometric functions are used to study the time-reversal of SLE$_\kappa(\rho_1,\dots,\rho_m)$ curves.
We use the same zoom link ant passcode as before.
|
29058
|
Wednesday 4/14 3:00 PM
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Ilya Kachkovskiy, MSU
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Spectral bands of two-dimensional periodic elliptic operators
- Ilya Kachkovskiy, MSU
- Spectral bands of two-dimensional periodic elliptic operators
- 04/14/2021
- 3:00 PM - 4:00 PM
- Online (virtual meeting)
(Virtual Meeting Link)
- Dapeng Zhan (zhan@msu.edu)
I will give an overview of spectral theory of second order elliptic operators on $\mathbb R^2$ on the example of Schrodinger operators and explain the main steps of the proof that spectral band edged are attained at finitely many values of the quasimomenta. If time permits, I will discuss related result and work in progress. The talk is based on joint work with N. Filonov.
Note: The meeting time is 3:00 pm instead of 4:00 pm.
We use the same zoom link and passcode as before.
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29059
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Wednesday 4/21 4:00 PM
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Seonghyeon Jeong, MSU
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TBA
- Seonghyeon Jeong, MSU
- TBA
- 04/21/2021
- 4:00 PM - 5:00 PM
- Online (virtual meeting)
(Virtual Meeting Link)
- Dapeng Zhan (zhan@msu.edu)
We are going to use the same zoom link and passcode as before.
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