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BEGIN:VEVENT
SUMMARY:Albert Schwarz (UC Davis)
DTSTART;VALUE=DATE-TIME:20200827T170000Z
DTEND;VALUE=DATE-TIME:20200827T180000Z
DTSTAMP;VALUE=DATE-TIME:20201029T100610Z
UID:LieJor_Seminar/1
DESCRIPTION:Title: Some questions on Jordan algebras inspired by quantum t
heory\nby Albert Schwarz (UC Davis) as part of LieJor Online Seminar: Alge
bras\, representations\, and applications\n\n\nAbstract\nOne can formulate
quantum theory taking as a starting point a convex set (the set of states
) or a convex cone (the set of non-normalized states.) Jordan algebras are
closely related to homogeneous cones\, therefore they appear naturally in
this formulation. There exists a conjecture that superstring can be formu
lated in terms of exceptional Jordan algebras. In my purely mathematical t
alk I'll formulate some results and conjectures on Jordan algebras coming
from these ideas.\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jacob Mostovoy (SINVESTAV)
DTSTART;VALUE=DATE-TIME:20200903T170000Z
DTEND;VALUE=DATE-TIME:20200903T180000Z
DTSTAMP;VALUE=DATE-TIME:20201029T100610Z
UID:LieJor_Seminar/2
DESCRIPTION:Title: The Chevalley-Eilenberg complex for Leibniz and for Sab
inin algebras\nby Jacob Mostovoy (SINVESTAV) as part of LieJor Online Semi
nar: Algebras\, representations\, and applications\n\n\nAbstract\nI will s
how how to generalize the Chevalley-Eilenberg complex of a Lie algebra to
Sabinin algebras and to Leibniz algebras. I will also show how Leibniz alg
ebras can be interpreted as a very basic kind of DG Lie algebras.\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Reimundo Heluani (IMPA)
DTSTART;VALUE=DATE-TIME:20200910T170000Z
DTEND;VALUE=DATE-TIME:20200910T180000Z
DTSTAMP;VALUE=DATE-TIME:20201029T100610Z
UID:LieJor_Seminar/3
DESCRIPTION:Title: The singular support of the Ising model\nby Reimundo He
luani (IMPA) as part of LieJor Online Seminar: Algebras\, representations\
, and applications\n\n\nAbstract\nWe prove three new q-series identities o
f the Rogers-Ramanujan-Slater type. We find a PBW basis for the Ising mode
l as a consequence of one of these identities. If time permits it will be
shown that the singular support of the Ising model is a hyper-surface (in
the differential sense) on the arc space of it's associated scheme. This i
s joint work with G. E. Andrews and J. van Ekeren and is available online
at https://arxiv.org/abs/2005.10769\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Leonid Makar-Limanov (Wayne State University)
DTSTART;VALUE=DATE-TIME:20200917T170000Z
DTEND;VALUE=DATE-TIME:20200917T180000Z
DTSTAMP;VALUE=DATE-TIME:20201029T100610Z
UID:LieJor_Seminar/4
DESCRIPTION:by Leonid Makar-Limanov (Wayne State University) as part of Li
eJor Online Seminar: Algebras\, representations\, and applications\n\nAbst
ract: TBA\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Alexander Molev (University of Sidney)
DTSTART;VALUE=DATE-TIME:20201001T130000Z
DTEND;VALUE=DATE-TIME:20201001T140000Z
DTSTAMP;VALUE=DATE-TIME:20201029T100610Z
UID:LieJor_Seminar/5
DESCRIPTION:Title: Symmetrization map\, Casimir elements and Sugawara oper
ators\nby Alexander Molev (University of Sidney) as part of LieJor Online
Seminar: Algebras\, representations\, and applications\n\n\nAbstract\nThe
canonical symmetrization map is a g-module isomorphism between the symmetr
ic algebra S(g) of a finite-dimensional Lie algebra g and its universal en
veloping algebra U(g). This implies that the images of g-invariants in S(g
) are Casimir elements. For each simple Lie algebra g of classical type we
consider basic g-invariants arising from the characteristic polynomial of
the matrix of generators. We calculate the Harish-Chandra images of the c
orresponding Casimir elements. By using counterparts of the symmetric alge
bra invariants for the associated affine Kac-Moody algebras we obtain new
formulas for generators of the centers of the affine vertex algebras at th
e critical level. Their Harish-Chandra images are elements of classical W-
algebras which we produce in an explicit form.\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Alberto Elduque (Universidad de Zaragoza)
DTSTART;VALUE=DATE-TIME:20201008T170000Z
DTEND;VALUE=DATE-TIME:20201008T180000Z
DTSTAMP;VALUE=DATE-TIME:20201029T100610Z
UID:LieJor_Seminar/6
DESCRIPTION:Title: Graded-simple algebras and twisted loop algebras\nby Al
berto Elduque (Universidad de Zaragoza) as part of LieJor Online Seminar:
Algebras\, representations\, and applications\n\n\nAbstract\nThe loop alge
bra construction by Allison\, Berman\, Faulkner\, and Pianzola (2008)\, de
scribes graded-central-simple algebras with "split centroid" in terms of c
entral simple algebras graded by a quotient of the original grading group.
Particular versions of this result were considered by several authors.\n\
nIn this talk it will be shown how the restriction on the centroid can be
removed\, at the expense of allowing some deformations (cocycle twists) of
the loop algebras.\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Dimitar Grantcharov (University of Texas Arlington)
DTSTART;VALUE=DATE-TIME:20201015T170000Z
DTEND;VALUE=DATE-TIME:20201015T180000Z
DTSTAMP;VALUE=DATE-TIME:20201029T100610Z
UID:LieJor_Seminar/7
DESCRIPTION:Title: Quantized enveloping superalgebra of type P\nby Dimitar
Grantcharov (University of Texas Arlington) as part of LieJor Online Semi
nar: Algebras\, representations\, and applications\n\n\nAbstract\nWe will
introduce a new quantized enveloping superalgebra corresponding to the per
iplectic Lie superalgebra p(n). This quantized enveloping superalgebra is
a quantization of a Lie bisuperalgebra structure on p(n). Furthermore\, we
will define the periplectic q-Brauer algebra and see that it admits natur
al centralizer properties. This is joint work with N. Guay and S. Ahmed.\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Olga Kharlampovich (Hunter College CUNY)
DTSTART;VALUE=DATE-TIME:20201029T170000Z
DTEND;VALUE=DATE-TIME:20201029T180000Z
DTSTAMP;VALUE=DATE-TIME:20201029T100610Z
UID:LieJor_Seminar/8
DESCRIPTION:Title: Frasse limits of limit groups\nby Olga Kharlampovich (H
unter College CUNY) as part of LieJor Online Seminar: Algebras\, represent
ations\, and applications\n\n\nAbstract\nWe modify the notion of a Fraïss
é class and show that various interesting classes of groups\, notably the
class of nonabelian limit groups and the class of finitely generated elem
entary free groups\, admit Fraïssé limits. We will also discuss countabl
e elementary free groups. The talk is based on joint results with A. Miasn
ikov\, C. Natoli and R. Sklinos.\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:A.V. Mikhalev (Lomonosov Moscow State University)
DTSTART;VALUE=DATE-TIME:20201112T160000Z
DTEND;VALUE=DATE-TIME:20201112T170000Z
DTSTAMP;VALUE=DATE-TIME:20201029T100610Z
UID:LieJor_Seminar/9
DESCRIPTION:by A.V. Mikhalev (Lomonosov Moscow State University) as part o
f LieJor Online Seminar: Algebras\, representations\, and applications\n\n
Abstract: TBA\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Vesselin Drensky (Bulgarian Academy of Sciences)
DTSTART;VALUE=DATE-TIME:20201217T160000Z
DTEND;VALUE=DATE-TIME:20201217T170000Z
DTSTAMP;VALUE=DATE-TIME:20201029T100610Z
UID:LieJor_Seminar/10
DESCRIPTION:by Vesselin Drensky (Bulgarian Academy of Sciences) as part of
LieJor Online Seminar: Algebras\, representations\, and applications\n\nA
bstract: TBA\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Milen Yakimov (Louisiana State University)
DTSTART;VALUE=DATE-TIME:20201001T150000Z
DTEND;VALUE=DATE-TIME:20201001T160000Z
DTSTAMP;VALUE=DATE-TIME:20201029T100610Z
UID:LieJor_Seminar/11
DESCRIPTION:Title: Quantum cluster algebras at roots of unity and discrimi
nants\nby Milen Yakimov (Louisiana State University) as part of LieJor Onl
ine Seminar: Algebras\, representations\, and applications\n\n\nAbstract\n
Cluster Algebra were invented by Fomin and Zelevinsky twenty years ago. Si
nce then they have played an important role in a number of settings in com
binatorics\, geometry\, representation theory and topology. We will introd
uce a notion of root of unity quantum cluster algebras which are PI algebr
as\, and will show that they have large canonical central subalgebras isom
orphic to the original cluster algebras. These are far reaching generaliza
tions of the De Concini-Kac-Procesi central subalgebras that appear in the
study of the irreducible representations of big quantum groups. We will d
escribe a general theorem computing the discriminants of these algebras. I
n a special situation it yields a formula for the discriminants of the qua
ntum unipotent cells at roots of unity associated to all symmetrizable Kac
-Moody algebras. This is a joint work with Bach Nguyen (Xavier Univ) and K
urt Trampel (Univ Notre Dame).\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Alexander Premet (University of Manchester)
DTSTART;VALUE=DATE-TIME:20200924T170000Z
DTEND;VALUE=DATE-TIME:20200924T180000Z
DTSTAMP;VALUE=DATE-TIME:20201029T100610Z
UID:LieJor_Seminar/12
DESCRIPTION:Title: Modular representations of Lie algebras and Humphreys'
Conjecture\nby Alexander Premet (University of Manchester) as part of LieJ
or Online Seminar: Algebras\, representations\, and applications\n\nAbstra
ct: TBA\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Nicolas Libedinsky (Universidad de Chile)
DTSTART;VALUE=DATE-TIME:20201105T170000Z
DTEND;VALUE=DATE-TIME:20201105T180000Z
DTSTAMP;VALUE=DATE-TIME:20201029T100610Z
UID:LieJor_Seminar/13
DESCRIPTION:Title: On Kazhdan-Lusztig theory for affine Weyl groups\nby Ni
colas Libedinsky (Universidad de Chile) as part of LieJor Online Seminar:
Algebras\, representations\, and applications\n\n\nAbstract\nKazhdan-Luszt
ig polynomials are a big mystery. On a recent work with Leonardo Patimo (f
ollowing Geordie Williamson) we were able to calculate them explicitly for
affine A2. We dream of a similar description for all affine Weyl groups\,
but it seems like an incredibly difficult program. I will explain some ne
w results in this direction and what we believe that is doable. Another pa
rt of this project is to produce an approach towards the following questio
n: for a given element in an affine Weyl group\, what are the prime number
s p such that the p-canonical basis is different from the canonical basis?
This is a joint project with Leonardo Patimo and David Plaza.\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Claude Cibils (Université de Montpellier)
DTSTART;VALUE=DATE-TIME:20201210T170000Z
DTEND;VALUE=DATE-TIME:20201210T180000Z
DTSTAMP;VALUE=DATE-TIME:20201029T100610Z
UID:LieJor_Seminar/14
DESCRIPTION:Title: Controlling the global dimension\nby Claude Cibils (Uni
versité de Montpellier) as part of LieJor Online Seminar: Algebras\, repr
esentations\, and applications\n\n\nAbstract\nThe global dimension of an a
ssociative algebra A over a a field is a measure of the complexity of its
representations. It is 0 if A is a matrix algebra. It is 1 if A is a path
algebras of quivers without directed cycles. It is infinite if A is the al
gebra of dual numbers.\n\nI will give a brief introduction to Hochschild h
omology (1945)\, in order to explain Han's conjecture (2006): for finite-d
imensional algebras\, the Hochschild homology should control the finitenes
s of the global dimension.\n\nNext\, I will present some progress made in
showing the Han's conjecture\, using the relative version of Hochschild ho
mology (1956) with respect to a subalgebra B. This theory was little used
until recently. Now we have a Jacobi-Zariski long nearly exact sequence wh
ich relates the usual and relative versions of Hochschild homology. Its ga
p to be exact is approximated by a spectral sequence which has Tor functor
s in its first page\, of B-tensor powers of A/B. This tool enables to show
\, for instance\, that the class of algebras verifying Han's conjecture is
closed by bounded extensions of algebras. These results have been obtaine
d in joint work with M. Lanzilotta\, E. N. Marcos and A. Solotar.\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Daniel Nakano (University of Georgia)
DTSTART;VALUE=DATE-TIME:20201203T170000Z
DTEND;VALUE=DATE-TIME:20201203T180000Z
DTSTAMP;VALUE=DATE-TIME:20201029T100610Z
UID:LieJor_Seminar/15
DESCRIPTION:by Daniel Nakano (University of Georgia) as part of LieJor Onl
ine Seminar: Algebras\, representations\, and applications\n\nAbstract: TB
A\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Mikhail Zaicev (Lomonosov Moscow State University)
DTSTART;VALUE=DATE-TIME:20201022T170000Z
DTEND;VALUE=DATE-TIME:20201022T180000Z
DTSTAMP;VALUE=DATE-TIME:20201029T100610Z
UID:LieJor_Seminar/16
DESCRIPTION:Title: Polynomial identities: anomalies of codimension growth\
nby Mikhail Zaicev (Lomonosov Moscow State University) as part of LieJor O
nline Seminar: Algebras\, representations\, and applications\n\n\nAbstract
\nMikhail Zaicev (Lomonosov Moscow State University\, Russia): Polynomial
identities: anomalies of codimension growth. P
olynomial identities: anomalies of codimension growth.

Mikhail
Zaicev (Lomonosov Moscow State University\, Russia)

22/Oct/2020 - 14:00
GMT-3 (Sã\;o Paulo time)

We consider numerical invariants a
ssociated with polynomial identities of algebras over a field of character
istic zero. Given an algebra \\(A\\)\, one can construct a sequence of non
-negative integers \\({c_n(A)}\, n=1\,2\, \\ldots \\)\, called the codimen
sions of \\(A\\)\, which is an important numerical characteristic of ident
ical relations of \\(A\\). In present talk we discuss asymptotic behavior
of codimension sequence in different classes of algebras.\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Natalia Iyudu (University of Edinburgh)
DTSTART;VALUE=DATE-TIME:20201119T170000Z
DTEND;VALUE=DATE-TIME:20201119T180000Z
DTSTAMP;VALUE=DATE-TIME:20201029T100610Z
UID:LieJor_Seminar/17
DESCRIPTION:by Natalia Iyudu (University of Edinburgh) as part of LieJor O
nline Seminar: Algebras\, representations\, and applications\n\nAbstract:
TBA\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Eli Aljadeff (Technion-Israel Institute of Technology)
DTSTART;VALUE=DATE-TIME:20201126T170000Z
DTEND;VALUE=DATE-TIME:20201126T180000Z
DTSTAMP;VALUE=DATE-TIME:20201029T100610Z
UID:LieJor_Seminar/18
DESCRIPTION:Title: PI theory\, generic objects and group gradings\nby Eli
Aljadeff (Technion-Israel Institute of Technology) as part of LieJor Onlin
e Seminar: Algebras\, representations\, and applications\n\nAbstract: TBA\
n
END:VEVENT
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