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SUMMARY:Simons Program: QMath Masterclass on Tensors: Geometry and Quantum
Information
DTSTART;VALUE=DATE-TIME:20180618T070000Z
DTEND;VALUE=DATE-TIME:20180622T160000Z
DTSTAMP;VALUE=DATE-TIME:20211022T043103Z
UID:indico-event-1088@indico.nbi.ku.dk
DESCRIPTION:\n\nUniversity of Copenhagen\, June 18-22\, 2018\n\nTensors ar
e classically studied objects in mathematics that find numerous applicatio
ns in several scientific fields\, where they provide\, as natural generali
zation of matrices\, a mathematical description of physical systems\, as w
ell as a tool to represent hierarchical data sets and a representation of
computational algorithms. This omnipresence of tensors in turn has motivat
ed the study of their mathematical properties in such diverse areas as mul
tilinear algebra\, geometry\, algebraic complexity theory and numerical an
alysis.\n \nIn the context of quantum information theory and quantum many
-body systems tensors have entered the field from many different point of
views. In terms of tensor-networks\, they provide efficient Ansatz-classes
for trial states for numerical optimizations\, as well as an analytic app
roach to quantum many-body systems. In the context of entanglement theory\
, tensor-rank classifies different classes of multi-partite entanglement.\
n\nMore generally\, tensor rank and the related border-rank can be used in
order to study the asymptotic interconvertibility between different quant
um states. Furthermore\, the complexity of algorithms and communication pr
otocols can be rephrased in terms of tensor rank. An overarching scheme in
all these approaches is the question on the minimal resources needed to r
epresent the tensors involved\, typically in terms of the tensor rank\, bo
rder rank or bond-dimension.\n\nHowever\, in contrast to matrices\, determ
ining the rank of a given tensor is usually a hard problem and even obtain
ing tight lower and upper bounds is often out of reach for the methods ava
ilable today. For this reason\, this Masterclass brings together experts f
rom different fields of tensor theory in order to explore the different as
pects of tensors in science.\n\nSpeakers\n\nSpeakers will include:\n\nPete
r Bürgisser\, TU Berlin\nJoseph M. Landsberg\, Texas A&M University\nGior
gio Ottaviani\, Universita' degli Studi di Firenze\nPeter Vrana\, Budapest
University of Technology and Economics\nMichael Walter\, University of Am
sterdam\n\n \n\nSchedule\n\n\n\nContent\n\nThis master class aims to prov
ide an overview of the latest developments and open problems in the field
of tensor methods in the context of quantum many-body systems and quantum
information theory. It will include minicourses by experts in these fields
and additional lectures by both local and external speakers. There will a
lso be significant opportunities for direct interaction. The primary aim i
s to expose graduate students and postdocs to the latest research on some
of the most important open problems in this field. More senior researchers
are also encouraged to apply.\n\nOutcome\n\nBy the end of the course\, th
e participants will have acquired an up-to-date overview of some of the la
test work in these areas and should be prepared for further study as well
as embarking on research projects on their own.\n\nTeaching and learning m
ethods\n\nLectures and exercise classes.\n\nLocation\n\nThe master class w
ill take place at the University of Copenhagen\, Denmark. Copenhagen is a
beautiful harbor city\, famous for being among the safest and most enjoya
ble places to live in the world.\nParticipants of the master class will ha
ve the opportunity to explore the city from the water during an excursion.
Conveniently\, May and June are the sunniest months of the year in Copenh
agen\, with days lasting nearly 17 hours.\n\nOrganizers\n\n\nThe master cl
ass is organized by the Villum Centre for the Mathematics of Quantum Theor
y (QMATH) at the Department of Mathematical Sciences and the Niels Bohr
International Academy (NBIA). From QMATH the organizers are:\n \nFulvio
Gesmundo\nAlbert H. Werner\nMatthias Christandl\nSuzanne Andersen\n\nVenue
\n\nThe QMATH group is located at the MATH department in the H.C. Ørste
d Institute across the park. Directions to the MATH department\, and sev
eral other useful locations\, can be found here.\n\n \n\n \n\nAccommoda
tion\n\nWe recommend Hotel 9 Små Hjem\, which is pleasant and inexpensiv
e and offers room with a kitchen. Another inexpensive option is CabInn\,
which has several locations in Copenhagen: Hotel City\, Hotel Scandivani
a\, and Hotel Express. Somewhat more expensive\, and still recommended\,
options are Hotel Nora and Ibsen's Hotel. PhD and Master's students ha
ve the possibility to apply for funded accommodation. In addition\, there
is a limited number of rooms available at a special rate.\n\nApplication\n
\nAn on-line application is required to be able to participate in the mast
er class.\n\nThe on-line application is now possible.\n\nThe application d
eadline is March 30 2018.\n\nParticipants will be selected on the basis
of the applications. For PhD students\, indicating the e-mail address of a
n academic supervisor is required\, as well as a motivated explanation of
the interest in the workshop. The master class is worth 2.5 ECTS.\n\nConta
ct\n\nAny questions about the master class can be directed to: QMATH@math
.ku.dk \n\n \n\nFill the evaluation form for the Masterclass at:\n\nhttp
s://goo.gl/forms/QS0EJWLzbnBKu8gE2\n\nhttps://indico.nbi.ku.dk/event/1088/
LOCATION:Niels Bohr Institute Auditorium A
URL:https://indico.nbi.ku.dk/event/1088/
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