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SUMMARY:Zhen-Chun Chen (National Taiwan Ocean University)
DTSTART;VALUE=DATE-TIME:20230913T060000Z
DTEND;VALUE=DATE-TIME:20230913T070000Z
DTSTAMP;VALUE=DATE-TIME:20230925T223353Z
UID:MAC8028/1
DESCRIPTION:Title:
數學力學與計算-邊界元走過四十年\nby Zhen-Chun Chen (Nat
ional Taiwan Ocean University) as part of Trends in Mathematical Research\
n\nLecture held in NTNU Gongguan S101.\n\nAbstract\n有幸自1983年在台
大土木接觸結構學中的影響線，後經修習物理數學方知
那是格林函數的一種。1984年第一屆應力所林紹雄教授開
授的應用數學課程讓本人對於勢能理論有了更深入的了
解，於碩(1984-1986)博士(1990-1994)論文議題也是圍繞著邊界
元與積分方程。講者有幸在1986-1990年間到中山科學研究
院二所三組服務，有機會將所發展的對偶邊界元素法應
用在火箭、飛彈與飛機的氣動力與結構應力分析方面，
讓超奇異積分方程與Hadamard有限部(finite part)不再那麼不
可親近。\n\n2003年李明恭主任所主辦的台灣計算數學研討
會在林文偉教授與劉晉良教授的推薦下，本人得以Plenary
lecture進行大會報告，將我們在工程應用時所需要學習與
用到的數學進行介紹並得以解決實際工程問題分享給數
學界的朋友，交流過程中個人收穫良多並受到啟發。本
演講擬從數學力學與計算的角度檢視四十年來邊界元所
呈現的Paradise\, Parasite與Paradox的三種面相和個人感受與體
會，並以蘇東坡的一首詩〈觀潮〉\n\n廬山煙雨浙江潮，
未到千般恨不消。\n到得還來別無事，廬山煙雨浙江潮。
\n\n作為結語，從看山是山，進而看山不是山到終究看山
又是山的心境分享，野人獻曝與數學力學界的朋友們交
流與切磋。\n
LOCATION:https://researchseminars.org/talk/MAC8028/1/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Shu-Cheng Chang (National Taiwan University)
DTSTART;VALUE=DATE-TIME:20230920T060000Z
DTEND;VALUE=DATE-TIME:20230920T070000Z
DTSTAMP;VALUE=DATE-TIME:20230925T223353Z
UID:MAC8028/2
DESCRIPTION:Title:
From Thurston Geometrization Conjecture to Mori Minimal Model Program\
nby Shu-Cheng Chang (National Taiwan University) as part of Trends in Math
ematical Research\n\nLecture held in NTNU Gongguan S101.\n\nAbstract\nA ce
ntral problem of differential geometry is the geometrization problem on ma
nifolds. In particular\, it is to determine which manifolds admit certain
geometric structures. One of methods is to understand and classify the sin
gularity models of the corresponding nonlinear geometric evolution equatio
n\, and to connect it to the existence problem of geometric structures on
manifolds. \n In 1982\, R. Hamilton introduced the Ricci flow and then
by studying the singularity models of Ricci flow\, G. Perelman completely
solved Thurston geometrization conjecture and Poincare conjecture for a cl
osed 3-manifold in 2002 and 2003.\n On the other hand\, Mori minimal mo
del program in birational geometry can be viewed as the complex analogue o
f Thurston's geometrization conjecture. In 1985\, H.-D. Cao introduced the
Kähler-Ricci flow and then recaptured the Calabi-Yau Conjecture. Moreove
r\, there is a conjecture picture by Song-Tian that the Kähler-Ricci flo
w should carry out the analytic minimal model program with scaling on proj
ective varieties. Recently\, Song-Weinkove established the above conjectur
e on a projective algebraic surface. Furthermore\, via the Sasaki-Ricci fl
ow\, Chang-Lin-Wu proved the Sasaki analogue of minimal model program on c
losed quasi-regular Sasakian 5-manifolds.\n In this lecture\, I will add
ress the above issues in some detail.\n
LOCATION:https://researchseminars.org/talk/MAC8028/2/
END:VEVENT
BEGIN:VEVENT
SUMMARY:John Duncan (Academia Sinica)
DTSTART;VALUE=DATE-TIME:20231004T060000Z
DTEND;VALUE=DATE-TIME:20231004T070000Z
DTSTAMP;VALUE=DATE-TIME:20230925T223353Z
UID:MAC8028/3
DESCRIPTION:Title:
A Guide to Moonshine\nby John Duncan (Academia Sinica) as part of Tren
ds in Mathematical Research\n\nLecture held in NTNU Gongguan S101.\n\nAbst
ract\nAndrew Ogg gave a geometric description of the primes that divide th
e order of the monster finite simple group in 1973\, and thus initiated th
e theory of monstrous moonshine. Since then\, the pursuit of moonshine has
illuminated powerful relationships between algebraic\, geometric and numb
er theoretic structures. We will present an introductory overview of this
theory.\n
LOCATION:https://researchseminars.org/talk/MAC8028/3/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Stephen Payne (National Taiwan University)
DTSTART;VALUE=DATE-TIME:20231018T060000Z
DTEND;VALUE=DATE-TIME:20231018T070000Z
DTSTAMP;VALUE=DATE-TIME:20230925T223353Z
UID:MAC8028/4
DESCRIPTION:Title:
Multi-scale\, multi-compartment modelling of the human brain\nby Steph
en Payne (National Taiwan University) as part of Trends in Mathematical Re
search\n\nLecture held in NTNU Gongguan S101.\n\nAbstract\nThe increasing
rates of cerebrovascular diseases\, such as stroke and dementia\, mean tha
t understanding cerebral blood flow and its control in both healthy and di
seased states has become an important clinical problem. However this is ma
de challenging by the spatial and temporal limitations of human brain imag
ing and the number of blood vessels involved in a what is a highly complex
dynamic regulating system over many length scales. In this talk I will di
scuss the work that we have done to construct models of cerebral blood flo
w that cover the many length scales involved\, running from a few micromet
res to a few millimetres. I will show how we have developed such models fr
om the bottom up\, through highly detailed modelling of the microcirculati
on and the application of homogenisation and optimisation methods\, in ord
er to generate a full-brain model of blood flow and oxygen transport. I wi
ll then talk about how this can be applied (and validated) in pathological
conditions\, in particular the treatment of acute ischaemic stroke. I wil
l conclude by discussing how we next plan to use multiple time scales in t
he context of chronic diseases such as dementia and to quantify the effect
s of interventions such as sleep and exercise on disease progression.\n
LOCATION:https://researchseminars.org/talk/MAC8028/4/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Yuh-Jye Li (Academia Sinica)
DTSTART;VALUE=DATE-TIME:20231025T060000Z
DTEND;VALUE=DATE-TIME:20231025T070000Z
DTSTAMP;VALUE=DATE-TIME:20230925T223353Z
UID:MAC8028/5
DESCRIPTION:by Yuh-Jye Li (Academia Sinica) as part of Trends in Mathemati
cal Research\n\nLecture held in NTNU Gongguan S101.\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/MAC8028/5/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Kyung-Youn Kim (National Chung Hsing University)
DTSTART;VALUE=DATE-TIME:20231101T060000Z
DTEND;VALUE=DATE-TIME:20231101T070000Z
DTSTAMP;VALUE=DATE-TIME:20230925T223353Z
UID:MAC8028/6
DESCRIPTION:Title:
Potential theory of anisotropic Markov processes\nby Kyung-Youn Kim (N
ational Chung Hsing University) as part of Trends in Mathematical Research
\n\nLecture held in NTNU Gongguan S101.\n\nAbstract\nHeat kernel is the fu
ndamental solution of the heat equation\, and it is also the transition de
nsity of the diffusion process corresponding to the Laplacian. These relat
ion is also ture for non-local operators\, and corresponding process is a
discontinuous Markov process. \nIn this talk\, we consider anisotropic Ma
rkov processes.\nLet $L_i$\, $i=1\,\\ldots\,d$\, be identical and independ
ent $1$-dimensional L\\'evy processes.\nDefine a Markov process $M:=(M_1\,
\\ldots\, M_d)$ whose jumping kernel is comparable to that of $L:=(L_1\,
\\ldots\, L_d)$.\nThen $M$ is a pure jump process that jumps parallel to t
he coordinate axes.\nWe discuss the sharp two-sided heat kernel bounds for
$M$ on $C^{1\,1}$ open set $D\\subset {\\rm I\\!R}^d$ as well as the pote
ntial theory of anisotropic Markov process. This is the joint work with Li
dan Wang.\n \n\\medskip\n\n[1.] Dirichlet Heat kernel estimates for a larg
e class of anisotropic Markov process(with Lidan Wang).\n
LOCATION:https://researchseminars.org/talk/MAC8028/6/
END:VEVENT
BEGIN:VEVENT
SUMMARY:TBA (TBA)
DTSTART;VALUE=DATE-TIME:20230927T060000Z
DTEND;VALUE=DATE-TIME:20230927T070000Z
DTSTAMP;VALUE=DATE-TIME:20230925T223353Z
UID:MAC8028/7
DESCRIPTION:by TBA (TBA) as part of Trends in Mathematical Research\n\nLec
ture held in NTNU Gongguan S101.\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/MAC8028/7/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Shagnik Das (National Taiwan University)
DTSTART;VALUE=DATE-TIME:20231011T060000Z
DTEND;VALUE=DATE-TIME:20231011T070000Z
DTSTAMP;VALUE=DATE-TIME:20230925T223353Z
UID:MAC8028/8
DESCRIPTION:by Shagnik Das (National Taiwan University) as part of Trends
in Mathematical Research\n\nLecture held in NTNU Gongguan S101.\nAbstract:
TBA\n
LOCATION:https://researchseminars.org/talk/MAC8028/8/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Adeel Khan (Academia Sinica)
DTSTART;VALUE=DATE-TIME:20231108T060000Z
DTEND;VALUE=DATE-TIME:20231108T070000Z
DTSTAMP;VALUE=DATE-TIME:20230925T223353Z
UID:MAC8028/9
DESCRIPTION:by Adeel Khan (Academia Sinica) as part of Trends in Mathemati
cal Research\n\nLecture held in NTNU Gongguan S101.\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/MAC8028/9/
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