为深入落实《关于加强基础学科人才培养的意见》要求，和教育部基础学科“成长伙伴”国际暑期学校专项工作，促进交叉学科人才培养，拓展学术视野，创新学习方式，促进科教融合，助力构建高质量基础学科拔尖人才培养体系，我院举办“吉林大学“拔尖计划2.0”数学学科国际暑期学校”，暑期学校活动安排如下：
上课时间：线上：2023年7月31日-8月4日
线下：2023年8月7日-8月11日
线下报到时间：2023年8月6日
地点：吉林大学前卫南区
授课方式：线上+线下
招生对象：面向全国各高校拔尖计划 2.0、强基计划的数学相关专业大三学生
招生人数：本次暑期学校活动形式为线上+线下，线上人数不限；线下共录取20人。
网上报名：报名线上、线下参加的学员请于2023年7月20日 14：00前填写统计表（https://jinshuju.net/f/HtWYU6），并将个人简历（PDF）+成绩单（PDF）形成压缩包发送至machuang21@mails.jlu.edu.cn进行报名。邮件主题和压缩包命名均为“国际暑期学校-xx大学-姓名-年级”，如“国际暑期学校-吉林大学-张三-2020级”。线下参加学院录取结果将于2023年7月25日在吉林大学数学学院微信公众号发布，并通过邮件通知学员。
日程安排
Schedule, week 1.
Online lectures
Date |
Time |
Lecture |
Location |
Monday,
July 31 |
14:00-15:00 |
Ryabov G. Lecture 1. Stochastic flows of solutions of smooth stochastic differential equations. |
zoom |
15:30-16:30 |
Dorogovtsev A.A. Lecture 1. Wasserstein space. Compactness criteria |
zoom |
Tuesday,
August 1 |
14:00-15:00 |
Ryabov G. Lecture 2. Smooth random dynamical systems. Perfection theorems. |
zoom |
15:30-16:30 |
Dorogovtsev A.A. Lecture 2. Equations with interaction. Existence and properties of solutions |
zoom |
Wednesday,
August 2 |
14:00-15:00 |
Ryabov G. Lecture 3. Coalescing stochastic flows on the real line. |
zoom |
15:30-16:30 |
Dorogovtsev A.A. Lecture 3. Stationary solutions to ordinary stochastic differential equations |
zoom |
Thursday,
August 3 |
14:00-15:00 |
Ryabov G. Lecture 4. Duality for coalescing stochastic flows on the real line. |
zoom |
15:30-16:30 |
Dorogovtsev A.A. Lecture 4. Shift-compactness as a substitution for stationarity |
zoom |
Friday,
August 4 |
14:00-15:00 |
Ryabov G. Lecture 5. Coalescing stochastic flows on metric graphs |
zoom |
15:30-16:30 |
Dorogovtsev A.A. Lecture 5. Recent results: intermittency of the density, winding numbers |
zoom |
Schedule, week 2.
Lectures in Jilin University
Date |
Time |
Lecture |
Location |
Monday, August 7 |
8:30-10:00 |
Kinderknecht Y. Lecture 1. Operator semigroups, evolution equations, and Markov processes |
Jilin University
|
14:00-15:00 |
Naoufel S. Lecture 1. Local times of Gaussian integrators. |
Jilin University
|
Tuesday,
August 8 |
8:30-10:00 |
Kinderknecht Y. Lecture 2. Feller semigroups / Feller processes |
Jilin University
|
14:00-15:00 |
Naoufel S. Lecture 2. Self-intersection local times of Gaussian integrators. |
Jilin University
|
Wednesday,
August 9 |
8:30-10:00 |
Kinderknecht Y. Lecture 3. Construction and approximation of operator semigroups |
Jilin University
|
14:00-15:00 |
Naoufel S. Lecture 3. Self-intersection local times, polymers, and large deviations. |
Jilin University
|
Thursday,
August 10 |
8:30-10:00 |
Kinderknecht Y. Lecture 4. Chernoff approximation of evolution semigroups |
Jilin University
|
14:00-15:00 |
Naoufel S. Lecture 4. Self-intersection local times as a generalized function. |
Jilin University
|
Friday,
August 11 |
8:30-10:00 |
Kinderknecht Y. Lecture 5. Stochastic processes and evolution equations in the models of anomalous diffusion |
Jilin University
|
14:00-15:00 |
Naoufel S. Lecture 5. Generalized double intersection local times of the Brownian motion. |
Jilin University
|
学生待遇：学生在校期间的学费与住宿费由暑期学校安排并承担，暑期学校并提供一定生活津贴。学生自行前往吉林大学前卫南区报到（报到地点另行通知），往返交通费自理。
联系人：王老师
咨询邮箱：799115021@qq.com
