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 3¤ëºtÁ¿ Colloquium, ¤¤¥¡¬ã¨s°|¼Æ¾Ç¬ã¨s©Ò ¿à«T¾§¬ã¨s­û Thursday, March 3, 16:10¡X17:00 ¼Æ¾Ç¨t3174 Title: Schur-Weyl Duality, Old and New Abstract:In the beginning stage of representation theory, Schur's 1901 thesis on polynomial/rational representations of the general linear groups has played an influential role. A double centralizer property with the symmetric groups (i.e., Weyl groups of type A), now known as the Schur-Weyl duality, has been utilized to simultaneously study the representation theories of the holy trinity'' -- the symmetric groups, the (infinite-dimensional) general linear Lie algebras, and the finite-dimensional algebras known as the Schur algebras. Interests in Schur's ideas still continue nowadays, in a modern setting. In this talk I will focus on the quantum version of the duality, and go over the connections with the quantum groups via coordinate construction, with the Hecke algebras, and with rational Cherednik algebras. Colloquium, °ê¥ß¦¨¥\¤j¾Ç¼Æ¾Ç¨t ¼B¤§¤¤§U²z±Ð±Â Thursday, March 10, 15:10¡X16:00 ¼Æ¾Ç¨t3174 Title: Equations in Gauge Theory Abstract:In this talk, I will briefly introduce the vast field of gauge theory that is developed from classical electromagnetism. The theory bridges (and identifies) many theories of pure mathematic. Moreover, it unravels many longstanding mathematical mysteries, especially in differential geometry. Gauge theory is still being actively researched, and I will mention some of my past contributions and currently interested topics. Colloquium, °ê¥ß¥xÆW¤j¾Ç¼Æ¾Ç¨t ³¯ºa³Í±Ð±Â Thursday, March 10, 16:10¡X17:00 ¼Æ¾Ç¨t3174 Title: On Characterization of Extremal Varieties of General Type Abstract: Considering varieties of general type of fixed dimension, it is interesting to study the distribution of birational invariants. For example, Miyaoka-Yau inequality, Noether inequalities forms the foundation of classification theory of surfaces. Also, Severi inequality plays the central role in the theory of irregular surfaces. Moreover, it would be interesting to understand those varieties attain the equality. In this talk, we will characterize varieties of general type on (or close to) the Noether line in dimension three. Colloquium, °ê¥ß°ª¶¯¤j¾ÇÀ³¥Î¼Æ¾Ç¨t ±i´fÄõ±Ð±Â Thursday, March 17, 16:10¡X17:00 ¼Æ¾Ç¨t3174 Title: Density-based Interval Group Testing Abstract: To identify splice sites in a genome, Cicalese et al. (2005) studied interval group testing where all items in the search space are linearly ordered and each of them is either positive or negative. An interval is a set of consecutive items. The goal is to identify positive items by asking queries of the type does an interval contain any positive one?" A motivation for this study comes from its application in determining exon-intron boundaries within a gene. We study this group testing model by using a generalized type of queries: each query asks does the density of positive items in an interval exceed a given ratio? " This type of density-based queries is proposed by Gerbner et al. (2013). In this talk, I will present our sequential algorithms and nonadaptive algorithms with error-tolerance. Colloquium, ¤¤¥¡¬ã¨s°|¼Æ¾Ç¬ã¨s©Ò ¤×ÄÀ½å¯S¸u¬ã¨s­û Friday, March 18, 10:10¡X12:00 ¼Æ¾Ç¨t3¼Ó·|Ä³«Ç Title: A Computable Approach to Wave and Heat Equation Abstract: In this talk we will give an elementary method to study wave and heat equation including various physical condition imposed. Colloquium, °ê¥ß¥xÆW¤j¾Ç¸ê°T¤uµ{¾Ç¨t ³¯êÕ»ú±Ð±Â Thursday, March 24, 16:10¡X17:00 ¼Æ¾Ç¨t3174 Title: Our Future Life - Conversational AI (§Ú­Ìªº¥¼¨Ó - ¹ï¸Ü¦¡¤H¤u´¼¼z) Abstract: The current human-machine interactions still differ from human-human interactions, because machines have difficulty fully understanding natural language due to diversity of language expression, lack of human commonsense, and lack of environmental contexts. This talk provides an overview of conversational AI systems and summarizes the current challenges and potential directions towards better conversational AI. Short Bio: Yun-Nung (Vivian) Chen (http://vivianchen.idv.tw/) is currently an associate professor in the Department of Computer Science & Information Engineering at National Taiwan University. She earned her Ph.D. degree from Carnegie Mellon University, where her research interests focus on spoken dialogue systems, language understanding, natural language processing, and multimodality. She was recognized as the Taiwan Outstanding Young Women in Science and received Google Faculty Research Awards, Amazon AWS Machine Learning Research Awards, MOST Young Scholar Fellowship, and FAOS Young Scholar Innovation Award. Prior to joining National Taiwan University, she worked in the Deep Learning Technology Center at Microsoft Research Redmond. Her course lectures are available on her YouTube channel (https://www.youtube.com/c/VivianNTUMiuLab).

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 °ê¥ß¦¨¥\¤j¾Ç¼Æ¾Ç¨t 70101 ¥x«n¥«¤j¾Ç¸ô¤@¸¹ ¹q¸Ü¡J(06) 2757575 Âà 65100   ¶Ç¯u¡J(06) 2743191 em65100[at]email.ncku.edu.tw