Research lectures, seminars and events
The events listed in this area are research seminars, workshops and lectures hosted by Durham University departments and research institutes. If you are not a member of the University, but wish to enquire about attending one of the events please contact the organiser or host department.
|November 2018||January 2019|
Events for 3 December 2018
Suppose you wish to use a blood test to screen a group of people for a
rare disease. You could take a blood sample from each person and test
the samples individually. However, it can be more efficient to mix a
number of samples together and test that mixture: if the test comes
back negative then none of those people have the disease, while if the
test is positive then at least one of them has the disease and further
investigation is needed. This problem is called group testing: given n
people of whom k have the disease, how many of these mixed tests do we
need to find out which people are infected?
In this talk, we discuss recent progress on this question,
concentrating on nonadaptive testing, where the tests are all designed
in advance. Techniques used come from probability, statistics,
information theory and combinatorics.
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In the 1990s Moy and Prasad revolutionized the representation theory of p-adic groups by showing how to use Bruhat-Tits theory to assign invariants to representations of p-adic groups. The tools they introduced resulted in rapid advancements in both representation theory and harmonic analysis -- areas of central importance in the Langlands program. A crucial ingredient for many results also beyond representation theory is an explicit construction of (types for) representations of p-adic groups.
In this talk I will introduce some of the basic objects and concepts, survey what is known about the construction of (the building blocks of) representations of p-adic groups and mention recent developments.
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