Room 515, Cosmology Bldg., National Taiwan University + Cisco Webex,
Organizers:
Wai Kit Lam (National Taiwan University)
Yng-Ing Lee (National Taiwan University)
Jhih-Huang Li (National Taiwan University)
Gateway to the World-Student Presentations after Academic Visits Abroad
2023 海外暑期學校參與學員心得與課程內容分享 (II)
時間: 共舉辦三場次
地點: 台灣大學次震宇宙館 R515
WebEx 線上參與:
2023.09.11 Link: https://ntucc.webex.com/ntucc-en/j.php?MTID=m4a137a0721390047fee5b5a27da887fa
2023.09.25 Link: https://ntucc.webex.com/ntucc-en/j.php?MTID=m9c6aa79375d6 8c707a2704e67ab8270b
主講人:
2023.09.11 廖沛妍 (PCMI 2023 Undergraduate Summer School 參加學員); 廖松毅 (2023 SLMath Summer Graduate School 參加學員)
2023.09.18 張恒宇 (2023 SLMath Summer Graduate School 參加學員); 盧德倫 (2023 SLMath Summer Graduate School 參加學員)
2023.09.25 郭婷婷 (2023 SLMath Summer Graduate School 參加學員); 張茗遠 (2023 SLMath Summer Graduate School 參加學員)
報告主題,時程安排
(點選課程名稱連結，您可以找到更多該課程的詳細內容，包括課程介紹、上課影片和講義等)
2023.09.11 Presentations 課程主題
2023.09.18 Presentations 課程主題
2023.09.25 Presentations 課程主題
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日期
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2023.09.11
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2023.09.18
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2023.09.25
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時間
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09:00-13:00
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09:30-13:00
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09:30-13:00
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地點
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台大次震宇宙館R515
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台灣大學次震宇宙館R515
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台灣大學次震宇宙館R515
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主講人
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廖沛妍, 廖松毅
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張恒宇, 盧德倫
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郭婷婷, 張茗遠
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主持人
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沈俊嚴 教授
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李志煌, 林偉傑 教授
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李瑩英主任
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時程 |
08:30-09:00 報到
09:00-10:40 廖沛妍
10:40-11:00 休息
11:00-12:40 廖松毅
12:40-13:00 Q&A
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09:00-09:30 報到
09:30-10:15 張恒宇,盧德倫 (心得經驗分享)
10:15-10:25 休息
10:25-11:10 盧德倫 (課程分享報告)
11:10-11:20 休息
11:20-12:05 張恒宇 (課程分享報告)
12:05-13:00 Q&A
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09:00-09:30 報到
09:30-10:00 郭婷婷, 張茗遠 (心得經驗分享)
10:00-10:10 休息
10:10-11:10 郭婷婷 (課程分享報告)
11:10-11:20 休息
11:20-12:20 張茗遠 (課程分享報告)
12:20-13:00 Q&A
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報名
報名請按我
#活動為現場參加者備有餐盒, 請預先報名
報名截止日:
2023.09.07 23:59 (2023.09.11 活動分享)
2023.09.14 23:59 (2023.09.18 活動分享)
2023.09.21 23:59 (2023.09.25 活動分享)
Title & Abstract
Speaker: 盧德倫, 張恒宇
Title: KLS Conjecture and Brunn-Minkowski Inequality
Abstract: In this talk, we will introduce the topics covered by the instructors, Prof. Max Fathi and Prof. Dan Mikulincer, in the summer school course.
For the first part of the talk, we will discuss the famous Kannan-Lovasz-Simonovits conjecture (also known as the KLS conjecture), which asserts that for any distribution with a log-concave density, the minimum expansion is approximated by that of a halfspace, up to a universal constant factor. The main focus of the talk will be on stochastic localization, the proof technique applied in the 2017 paper by Yin Tat Lee and Santosh S. Vempala.
For the second part of the talk, we will give a brief introduction to the Brunn-Minkowski inequality and its applications. In the beginning, we will describe the different forms of it and discuss their equivalence. Next, we will outline a probabilistic proof and introduce the functional form, Prékopa-Leindler inequality. Finally, we will focus on the Johnson-Lindestrauss lemma, which describes how to construct a linear projection from high-dimensional data into a lower-dimensional space while preserving the distance structure. It also has an application to Prékopa-Leindler inequality and Gaussian concentration
Contact: Lucy Chang (shunwen.chang@ncts.tw) TEL: 02-3366-8811
