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BEGIN:VEVENT
SUMMARY:Christine Breiner (Brown University)
DTSTART;VALUE=DATE-TIME:20231130T140000Z
DTEND;VALUE=DATE-TIME:20231130T150000Z
DTSTAMP;VALUE=DATE-TIME:20241016T064456Z
UID:IMSRS/1
DESCRIPTION:Title: Ha
rmonic Maps to Metric Spaces with Upper Curvature Bounds\nby Christine
Breiner (Brown University) as part of IUT Mathematics and Statistics Rese
arch Seminar\n\n\nAbstract\nA natural notion of energy for a map is given
by measuring how much the map stretches at each point and integrating that
quantity over the domain. Harmonic maps are critical points for the energ
y and existence and compactness results for harmonic maps have played a ma
jor role in the advancement of geometric analysis. Gromov-Schoen and Korev
aar-Schoen developed a theory of harmonic maps into metric spaces with non
-positive curvature in order to address rigidity problems in geometric gro
up theory. In this talk we consider harmonic maps into metric spaces with
upper curvature bounds. We will define these objects\, state some key resu
lts\, and demonstrate their application to rigidity and uniformization pro
blems.\n
LOCATION:https://researchseminars.org/talk/IMSRS/1/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Byungdo Park (Chungbuk National University)
DTSTART;VALUE=DATE-TIME:20231211T123000Z
DTEND;VALUE=DATE-TIME:20231211T133000Z
DTSTAMP;VALUE=DATE-TIME:20241016T064456Z
UID:IMSRS/2
DESCRIPTION:Title: Di
fferential Cohomology and Gerbes: An Introduction to Higher Differential G
eometry\nby Byungdo Park (Chungbuk National University) as part of IUT
Mathematics and Statistics Research Seminar\n\nLecture held in https://me
et.google.com/rhw-ernk-ndg.\n\nAbstract\nDifferential cohomology is a topi
c that has been attracting considerable interest.\nMany interesting applic
ations in mathematics and physics have been known\; description of\nWZW te
rms\, string structures\, study of conformal immersions\, classifications
of Ramond-\nRamond fields to list a few\, and it is also an interesting ap
plication of the theory of infinity\ncategories. I will try to give an aud
ience-friendly overview of differential cohomology and a\nclassification o
f higher line bundles (a. k. a. U(1)-banded gerbes) with connection. I wil
l\nstart from scratch and assume only some basic differential geometry and
algebraic topology\nso that it would be accessible to most graduate stude
nts.\n
LOCATION:https://researchseminars.org/talk/IMSRS/2/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Byungdo Park (Chungbuk National University)
DTSTART;VALUE=DATE-TIME:20231218T123000Z
DTEND;VALUE=DATE-TIME:20231218T133000Z
DTSTAMP;VALUE=DATE-TIME:20241016T064456Z
UID:IMSRS/3
DESCRIPTION:Title: Di
fferential Cohomology and Gerbes: An Introduction to Higher Differential G
eometry II\nby Byungdo Park (Chungbuk National University) as part of
IUT Mathematics and Statistics Research Seminar\n\nLecture held in https:/
/meet.google.com/rhw-ernk-ndg.\n\nAbstract\nDifferential cohomology is a t
opic that has been attracting considerable interest. Many interesting appl
ications in mathematics and physics have been known\; description of WZW t
erms\, string structures\, study of conformal immersions\, classifications
of Ramond- Ramond fields to list a few\, and it is also an interesting ap
plication of the theory of infinity categories. I will try to give an audi
ence-friendly overview of differential cohomology and a classification of
higher line bundles (a. k. a. U(1)-banded gerbes) with connection. I will
start from scratch and assume only some basic differential geometry and al
gebraic topology so that it would be accessible to most graduate students.
\n
LOCATION:https://researchseminars.org/talk/IMSRS/3/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Byungdo Park (Chungbuk National University)
DTSTART;VALUE=DATE-TIME:20231225T123000Z
DTEND;VALUE=DATE-TIME:20231225T133000Z
DTSTAMP;VALUE=DATE-TIME:20241016T064456Z
UID:IMSRS/4
DESCRIPTION:Title: Di
fferential Cohomology and Gerbes: An Introduction to Higher Differential G
eometry III\nby Byungdo Park (Chungbuk National University) as part of
IUT Mathematics and Statistics Research Seminar\n\nLecture held in https:
//meet.google.com/rhw-ernk-ndg.\n\nAbstract\nDifferential cohomology is a
topic that has been attracting considerable interest. Many interesting app
lications in mathematics and physics have been known\; description of WZW
terms\, string structures\, study of conformal immersions\, classification
s of Ramond- Ramond fields to list a few\, and it is also an interesting a
pplication of the theory of infinity categories. I will try to give an aud
ience-friendly overview of differential cohomology and a classification of
higher line bundles (a. k. a. U(1)-banded gerbes) with connection. I will
start from scratch and assume only some basic differential geometry and a
lgebraic topology so that it would be accessible to most graduate students
.\n
LOCATION:https://researchseminars.org/talk/IMSRS/4/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Yu Kitabeppu (Kumamoto University)
DTSTART;VALUE=DATE-TIME:20240424T123000Z
DTEND;VALUE=DATE-TIME:20240424T133000Z
DTSTAMP;VALUE=DATE-TIME:20241016T064456Z
UID:IMSRS/5
DESCRIPTION:Title: Co
arse Ricci Curvature of Hypergraphs\nby Yu Kitabeppu (Kumamoto Univers
ity) as part of IUT Mathematics and Statistics Research Seminar\n\n\nAbstr
act\nThere are several notions of (lower bound of) Ricci curvature on disc
rete spaces. I\nwill give a new notion of Ricci curvature on hypergraphs r
elated to the Lin- Lu-Yauâ€™s coarse\nRicci curvature on graphs (LLY curva
ture for short). The definition of LLY curvature defined\nby using the Mar
kov chain on vertex set on graph. Since the Laplacian of hypergraph is non
linear\, it is difficult to define Ricci curvature on hypergraphs in the s
ame way as LLY one. In\nmy talk\, I explain how to overcome such difficult
ies and tell the geometric consequences of\nassuming lower bound of Ricci
curvature. These are based on two joint works with M.IkedaY.Takai-T.Uehara
\, and with E.Matsumoto.\n
LOCATION:https://researchseminars.org/talk/IMSRS/5/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Sadok Kallel (American Univ. of Sharjah)
DTSTART;VALUE=DATE-TIME:20240527T063000Z
DTEND;VALUE=DATE-TIME:20240527T080000Z
DTSTAMP;VALUE=DATE-TIME:20241016T064456Z
UID:IMSRS/6
DESCRIPTION:Title: To
pology and Geometry of Configuration Spaces I\nby Sadok Kallel (Americ
an Univ. of Sharjah) as part of IUT Mathematics and Statistics Research Se
minar\n\nLecture held in https://meet.google.com/wbd-bwhg-xzd.\n\nAbstract
\nConfiguration spaces of distinct points have seen an explosion in intere
st\nand in the number of publications. Applications have long gone beyond\
nalgebraic topology to encompass all modern aspects of geometry\, analysis
\, and\nmathematical physics\, further making incursions into the applied
science fields.\nThis series of lectures will introduce and explain some o
f the many constructions\nand results in the theory\, with an eye on appli
cations.\n
LOCATION:https://researchseminars.org/talk/IMSRS/6/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Sadok Kallel (American Univ. of Sharjah)
DTSTART;VALUE=DATE-TIME:20240527T113000Z
DTEND;VALUE=DATE-TIME:20240527T130000Z
DTSTAMP;VALUE=DATE-TIME:20241016T064456Z
UID:IMSRS/7
DESCRIPTION:Title: To
pology and Geometry of Configuration Spaces II\nby Sadok Kallel (Ameri
can Univ. of Sharjah) as part of IUT Mathematics and Statistics Research S
eminar\n\nLecture held in https://meet.google.com/rhw-ernk-ndg.\nAbstract:
TBA\n
LOCATION:https://researchseminars.org/talk/IMSRS/7/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Sadok Kallel (American Univ. of Sharjah)
DTSTART;VALUE=DATE-TIME:20240528T073000Z
DTEND;VALUE=DATE-TIME:20240528T090000Z
DTSTAMP;VALUE=DATE-TIME:20241016T064456Z
UID:IMSRS/8
DESCRIPTION:Title: To
pology and Geometry of Configuration Spaces III\nby Sadok Kallel (Amer
ican Univ. of Sharjah) as part of IUT Mathematics and Statistics Research
Seminar\n\nLecture held in https://meet.google.com/wbd-bwhg-xzd.\n\nAbstra
ct\nConfiguration spaces of distinct points have seen an explosion in inte
rest\nand in the number of publications. Applications have long gone beyon
d\nalgebraic topology to encompass all modern aspects of geometry\, analys
is\, and\nmathematical physics\, further making incursions into the applie
d science fields.\nThis series of lectures will introduce and explain some
of the many constructions\nand results in the theory\, with an eye on app
lications.\n
LOCATION:https://researchseminars.org/talk/IMSRS/8/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Sadok Kallel (American Univ. of Sharjah)
DTSTART;VALUE=DATE-TIME:20240528T113000Z
DTEND;VALUE=DATE-TIME:20240528T130000Z
DTSTAMP;VALUE=DATE-TIME:20241016T064456Z
UID:IMSRS/9
DESCRIPTION:Title: To
pology and Geometry of Configuration Spaces IV\nby Sadok Kallel (Ameri
can Univ. of Sharjah) as part of IUT Mathematics and Statistics Research S
eminar\n\nLecture held in https://meet.google.com/wbd-bwhg-xzd.\n\nAbstrac
t\nConfiguration spaces of distinct points have seen an explosion in inter
est\nand in the number of publications. Applications have long gone beyond
\nalgebraic topology to encompass all modern aspects of geometry\, analysi
s\, and\nmathematical physics\, further making incursions into the applied
science fields.\nThis series of lectures will introduce and explain some
of the many constructions\nand results in the theory\, with an eye on appl
ications.\n
LOCATION:https://researchseminars.org/talk/IMSRS/9/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Xinrui Zhao (MIT)
DTSTART;VALUE=DATE-TIME:20241003T133000Z
DTEND;VALUE=DATE-TIME:20241003T143000Z
DTSTAMP;VALUE=DATE-TIME:20241016T064456Z
UID:IMSRS/10
DESCRIPTION:Title: U
nique continuation problem on RCD spaces\nby Xinrui Zhao (MIT) as part
of IUT Mathematics and Statistics Research Seminar\n\nLecture held in htt
ps://meet.google.com/osu-pcqp-bqs.\n\nAbstract\nIn this talk we will sketc
h the proof of the unique continuation property of harmonic functions and
caloric functions on any RCD(K\,2) spaces and a counterexample for the str
ong unique continuation property of harmonic function on an RCD(K\,4) spac
e. This characterizes one of the significant differences between RCD space
s and smooth manifolds. We will also talk about some related open problems
. The talk is based on joint works with Qin Deng.\n
LOCATION:https://researchseminars.org/talk/IMSRS/10/
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