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SUMMARY:EAUMP - ICTP Summer School on Algebraic Topology and its Applicati
ons | (smr 3310)
DTSTART;VALUE=DATE-TIME:20190715T060000Z
DTEND;VALUE=DATE-TIME:20190802T200000Z
DTSTAMP;VALUE=DATE-TIME:20190221T080801Z
UID:indico-event-8699@ictp.it
DESCRIPTION:\n The Eastern Africa Universities Mathematics Programme (EAUM
P) courtesy of the International Science Programme (ISP) of Sweden\; joint
ly with ICTP\, Trieste\, Italy\; Sida\; CIMPA\, DAAD\, LMS/AMMSI\, COMPOSI
TIO is organizing a three weeks summer School on Algebraic Topology and it
s Applications to be held at Makerere University\, Kampala\, Uganda from 1
5th July to 2nd August\, 2019.\n It is intended that the School will take
the audience comprising young academic staff members and advanced graduate
students (M.Sc\, Ph.D and Postdoctoral Students) of Mathematics from the
Eastern African region and beyond. The school is the next one in a series
of schools organized under the Eastern African Universities Mathematics Pr
ogramme (EAUMP). The most recent EAUMP schools were organized in 2015 at M
akerere University\, Uganda\, on Experimental Pure Mathematics\; in 2016 a
t the University of Rwanda on Number Theory\; in 2017 at the University of
Nairobi on Modern Functional Analysis\; and in 2018 at the University of
Dar es Salaam on Homological methods in Algebra and Geometry. All the scho
ols are within one of the main aims of EAUMP which is to improve the pure
mathematics in the region.\n The member Universities of the EAUMP are Univ
ersity of Dar es Salaam\, Tanzania\; University of Nairobi\, Kenya\; Unive
rsity of Zambia\, Zambia\; Makerere University\, Uganda\; University of Rw
anda\, Rwanda.GOALS OF THE SCHOOL\n\n To introduce participants to curren
t trends in Algebraic Topology and its applications\, including knot theor
y and Topological Data Science\, and provide research topics for masters a
nd PhD studies.\n \n To provide a forum for African mathematicians to int
eract\, exchange ideas and initiate collaborations.\n \n Identify talente
d students for possible PhD programs.\n \n To produce digital lecture mat
erial for dissemination\, which contributes to the training of master stud
ents in the Eastern Africa region.\n\n STURCTURE AND PROGRAMME\n As in the
years 2013-2017\, participants will be asked to submit mini-projects on t
he material studied at the School\, with the best submissions receiving pr
izes/awards. They will work on their projects after the end of the School
and will submit them during the third week of the school.Here is the detai
led course plan for the School.Week 1: Introductory courses\n Course 1: In
troductory TopologyLecturers: Balazs Szendroi (University of Oxford) and V
enuste Nyagahakwa (University of Rwanda)\n Description: This course will
introduce the basic ideas of topology\, starting with an abstract definiti
on of topological space\, and treating many examples.\n Course 2: The Fund
amental Group\n Lecturer: Jean-Baptiste Gatsinzi (Botswana Institute of Sc
ience and Technology)\n Description: The fundamental group is a basic but
key algebraic invariant of a topological space. This course will define th
is group and give some interesting examples of how to compute it.Week 2: I
ntermediate coursesCourse 3: ManifoldsLecturer: Claudia Scheimbauer (NTNU\
, Trondheim)\n Description: Manifolds provide a very interesting class of
examples of topological spaces\, of great interest in applications to geom
etry\, physics and elsewhere. This course will introduce this notion with
many examples\, mainly from dimensions 1\, 2 and 3.Course 4: Introduction
to persistent homologyLecturer: Ulrike Tillmann (University of Oxford)\n D
escription: Persistent homology\, a method for computing topological featu
res of a space at different spatial resolutions\, will be explained in thi
s course\, with a view towards applications.Week 3: Advanced coursesCourse
5: Introduction to Knot TheoryLecturer: Mehdi Yazdi (University of Oxford
)\n Description: A knot is a tangled piece of rope in the three dimensiona
l space\, with the two loose ends glued together. Knot theory asks questio
ns such as: can this knot be untangled by continuously deforming the rope?
Are there ways to tell two knots apart? This course will discuss the basi
c invariants and quantities defined for knots\, together with the connecti
on with the theory of 3-dimensional manifolds.Course 6: Topological Data A
nalysisLecturer: Vidit Nanda (University of Oxford)\n Description: Topolog
ical data analysis is a recent and fast-growing field providing a set of n
ew topological and geometric tools to infer global features from complex d
ata. This course will give an introduction to this circle of ideas.\n \n
\n SCHOOL PARTICIPATION\n Online application form is available at http://i
ndico.ictp.it/event/8699/\, and will close on 28th April\, 2019. Alternati
ve request for participation can be done by originating an email to kasozi
@cns.mak.ac.ug copied to ssevviiri@cns.mak.ac.ug\, szendroi@maths.ox.ac.uk
. Only those applicants who will be successful shall be contacted. Letters
of invitation will be issued to participants upon request for the process
ing of travel documents or soliciting for funding.INTERNATIONAL ORGANISING
COMMITTEE\n Leif Abrahamson (University of Uppsala\, Sweden)\, Prof. Beng
t-Ove Turesson (Linkoping University\, Sweden)\, Fernando Rodriguez Villeg
as (ICTP\, Italy)\, Balazs Szendroi (University of Oxford\, UK)\, Patric
k Weke (University of Nairobi\, Kenya).LOCAL ORGANIZING COMMITTEE\n David
Ssevviiri (Makerere University)\, Juma Kasozi (Makerere University)\, John
Mango Makerere University)\, Patrick Weke (University of Nairobi)\, Jared
Ongaro (University of Nairobi)\, Eunice Mureithi (University of Dar es Sa
laam)\, James Makungu (University of Dar es Salaam)\, Michael Gahirima (UR
-CST\, Nyarugenge)\, Wellars Banzi (UR-CST\, Nyarugenge)\, Mubanga Lombe (
University of Zambia)\, Isaac D. Tembo (University of Zambia).\n\nhttp://i
ndico.ictp.it/event/8699/
LOCATION:Kampala - Uganda
URL:http://indico.ictp.it/event/8699/
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