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BEGIN:VEVENT
SUMMARY:Xukai Yan (Oklahoma State University)
DTSTART;VALUE=DATE-TIME:20210226T210000Z
DTEND;VALUE=DATE-TIME:20210226T220000Z
DTSTAMP;VALUE=DATE-TIME:20230208T065857Z
UID:VCU_ALPS/1
DESCRIPTION:Title: Sharp stability for the interaction energy\nby Xukai Yan (Oklahoma St
ate University) as part of VCU ALPS (Analysis\, Logic\, and Physics Semina
r)\n\n\nAbstract\nFor a nonnegative density f and radially decreasing inte
raction potential W\, the interaction energy is given by E[f]= \\int f(x)
f(y)W(x-y) dxdy. The celebrated Riesz rearrangement inequality says that
the interaction energy satisfies E[f] \\le E[f^*]\, where f^* is the radia
lly decreasing rearrangement of f. In this talk\, I will discuss the quant
itative estimate of this inequality. I will first make an introduction abo
ut the problem and describe some previous results about the stability esti
mate for characteristic functions. I will then present a recent work with
Yao Yao\, where we establish the stability estimate for general densities
.\n
LOCATION:https://researchseminars.org/talk/VCU_ALPS/1/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Michael Novack (The University of Texas\, Austin)
DTSTART;VALUE=DATE-TIME:20210312T200000Z
DTEND;VALUE=DATE-TIME:20210312T210000Z
DTSTAMP;VALUE=DATE-TIME:20230208T065857Z
UID:VCU_ALPS/2
DESCRIPTION:Title: 3D smectic liquid crystals\nby Michael Novack (The University of Texa
s\, Austin) as part of VCU ALPS (Analysis\, Logic\, and Physics Seminar)\n
\n\nAbstract\nLiquid crystals are an intermediate state of matter which fl
ow like liquids but retain molecular ordering similar to that of crystals.
Their physical properties make them ideal for a wide range of technologic
al applications. The molecules in smectic liquid crystals form well-define
d layers which slide across one another\; in fact\, this is what gives soa
p its slippery feel. In this talk we will introduce a mathematical model f
or smectics based on the minimization of a suitable energy and present rec
ent results obtained jointly with Xiaodong Yan. No prior knowledge of liqu
id crystals or the relevant mathematics will be assumed.\n
LOCATION:https://researchseminars.org/talk/VCU_ALPS/2/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Brent Cody (Virginia Commonwealth University)
DTSTART;VALUE=DATE-TIME:20210326T190000Z
DTEND;VALUE=DATE-TIME:20210326T200000Z
DTSTAMP;VALUE=DATE-TIME:20230208T065857Z
UID:VCU_ALPS/3
DESCRIPTION:Title: Higher indescribability and derived topologies\nby Brent Cody (Virgin
ia Commonwealth University) as part of VCU ALPS (Analysis\, Logic\, and Ph
ysics Seminar)\n\n\nAbstract\nThe derived set of a subset of a topological
space\, also called the Cantor derivative of the set\, is the set of limi
t points of the set. The concept was introduced by Cantor in 1872 and set
theory was initially developed in part to study derived sets on the real l
ine. Bagaria (2019) introduced the sequence of derived topologies on an or
dinal $\\delta$\, which are topologies obtained from the interval topology
on $\\delta$ by declaring certain derived sets to be open. Bagaria used t
he large cardinal hypothesis of indescribability to show that in some mode
ls of set theory the first $\\delta$-many derived topologies on $\\delta$
can be non-discrete and furthermore the non-isolated points of these space
s can be characterized in terms of reflection properties. We will discuss
some natural generalizations of Bagaria’s results. For example\, in orde
r to move beyond the first $\\delta$-many derived topologies on $\\delta$\
, we introduce diagonal Cantor derivatives and indescribability properties
that involve certain kinds of infinitely long sentences.\n
LOCATION:https://researchseminars.org/talk/VCU_ALPS/3/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ken Ono (University of Virginia)
DTSTART;VALUE=DATE-TIME:20210409T190000Z
DTEND;VALUE=DATE-TIME:20210409T200000Z
DTSTAMP;VALUE=DATE-TIME:20230208T065857Z
UID:VCU_ALPS/4
DESCRIPTION:Title: The Riemann Hypothesis: History and Recent Work\nby Ken Ono (Universi
ty of Virginia) as part of VCU ALPS (Analysis\, Logic\, and Physics Semina
r)\n\n\nAbstract\nThe Riemann hypothesis provides insights into the distri
bution of prime numbers\, stating that the nontrivial zeros of the Riemann
zeta function have a “real part” of one-half. A proof of the hypothes
is would be world news and fetch a $1 million Millennium Prize. In this le
cture\, Ken Ono will discuss the mathematical meaning of the Riemann hypot
hesis and why it matters. Along the way\, he will tell tales of mysteries
about prime numbers and highlight new advances. He will conclude with a di
scussion of recent joint work with mathematicians Michael Griffin of Brigh
am Young University\, Larry Rolen of Georgia Tech\, and Don Zagier of the
Max Planck Institute\, which sheds new light on this famous problem.\n
LOCATION:https://researchseminars.org/talk/VCU_ALPS/4/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Lorena Aguirre Salazar (McMaster University)
DTSTART;VALUE=DATE-TIME:20210430T190000Z
DTEND;VALUE=DATE-TIME:20210430T200000Z
DTSTAMP;VALUE=DATE-TIME:20230208T065857Z
UID:VCU_ALPS/5
DESCRIPTION:Title: On Gamma-Convergence of the TFDW model\nby Lorena Aguirre Salazar (Mc
Master University) as part of VCU ALPS (Analysis\, Logic\, and Physics Sem
inar)\n\n\nAbstract\nDuring my talk I will explain a rigorous connection b
etween the Thomas-Fermi-Dirac-von Weizsäcker (TFDW) model\, introduced in
the study of ionization of atoms and molecules\, and the Liquid Drop mode
l with external potential\, proposed by Gamow in the context of nuclear st
ructure\, via Gamma-convergence. These models correspond to energy-driven
nonlocal pattern forming systems with opposing interactions. Nonlocalitie
s are present via Coulombian type interactions. I will also discuss compa
ctness of sequences with bounded energy.\n
LOCATION:https://researchseminars.org/talk/VCU_ALPS/5/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Alex Misiats (Virginia Commonwealth University)
DTSTART;VALUE=DATE-TIME:20210507T190000Z
DTEND;VALUE=DATE-TIME:20210507T200000Z
DTSTAMP;VALUE=DATE-TIME:20230208T065857Z
UID:VCU_ALPS/6
DESCRIPTION:by Alex Misiats (Virginia Commonwealth University) as part of
VCU ALPS (Analysis\, Logic\, and Physics Seminar)\n\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/VCU_ALPS/6/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ruiwen Shu (University of Oxford)
DTSTART;VALUE=DATE-TIME:20211001T190000Z
DTEND;VALUE=DATE-TIME:20211001T200000Z
DTSTAMP;VALUE=DATE-TIME:20230208T065857Z
UID:VCU_ALPS/7
DESCRIPTION:Title: From radial symmetry to fractal behavior of aggregation equilibria for re
pulsive-attractive potentials\nby Ruiwen Shu (University of Oxford) as
part of VCU ALPS (Analysis\, Logic\, and Physics Seminar)\n\n\nAbstract\n
For the interaction energy with repulsive-attractive potentials\, we give
generic conditions which guarantee the radial symmetry of the local minimi
zers in the infinite Wasserstein distance. As a consequence\, we obtain th
e uniqueness of local minimizers in this topology for a class of interacti
on potentials. We introduce a novel notion of concavity of the interaction
potential allowing us to show certain fractal-like behavior of the local
minimizers. We provide a family of interaction potentials such that the su
pport of the associated local minimizers has no isolated points and any su
perlevel set has no interior points.\n
LOCATION:https://researchseminars.org/talk/VCU_ALPS/7/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Peter Holy (University of Udine)
DTSTART;VALUE=DATE-TIME:20211008T130000Z
DTEND;VALUE=DATE-TIME:20211008T140000Z
DTSTAMP;VALUE=DATE-TIME:20230208T065857Z
UID:VCU_ALPS/8
DESCRIPTION:Title: Ulam style Cut and Choose games\nby Peter Holy (University of Udine)
as part of VCU ALPS (Analysis\, Logic\, and Physics Seminar)\n\n\nAbstract
\nIf you want Ann and Bob to fairly share a piece of cake\, an easy way to
achieve this is to let Ann cut the cake in two\, and then to let Bob choo
se his piece. I’ll be looking at certain infinite games that were propos
ed by Ulam and Mycielski in the 1960ies based on the above idea of fair sh
aring. We will investigate some basic properties of these games\, and I wi
ll talk about their relationship with the existence of large infinities. T
his is joint work with Philipp Schlicht\, Christopher Turner and Philip We
lch (all University of Bristol).\n
LOCATION:https://researchseminars.org/talk/VCU_ALPS/8/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Dennis Kriventsov (Rutgers University)
DTSTART;VALUE=DATE-TIME:20211015T190000Z
DTEND;VALUE=DATE-TIME:20211015T200000Z
DTSTAMP;VALUE=DATE-TIME:20230208T065857Z
UID:VCU_ALPS/9
DESCRIPTION:Title: Stability for Faber-Krahn inequalities and the ACF formula\nby Dennis
Kriventsov (Rutgers University) as part of VCU ALPS (Analysis\, Logic\, a
nd Physics Seminar)\n\n\nAbstract\nThe Faber-Krahn inequality states that
the first Dirichlet eigenvalue of the Laplacian on a domain is greater tha
n or equal to that of a ball of the same volume (and if equality holds\, t
hen the domain is a translate of a ball). Similar inequalities are availab
le on other manifolds where balls minimize perimeter over sets of a given
volume. I will present a new sharp stability theorem for such inequalities
: if the eigenvalue of a set is close to a ball\, then the first eigenfunc
tion of that set must be close to the first eigenfunction of a ball\, with
the closeness quantified in an optimal way. I will also explain an applic
ation of this to the behavior of the Alt-Caffarelli-Friedman monotonicity
formula\, which has implications for free boundary problems with multiple
phases. This is based on recent joint work with Mark Allen and Robin Neuma
yer.\n
LOCATION:https://researchseminars.org/talk/VCU_ALPS/9/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Corey Switzer (University of Vienna)
DTSTART;VALUE=DATE-TIME:20211022T130000Z
DTEND;VALUE=DATE-TIME:20211022T140000Z
DTSTAMP;VALUE=DATE-TIME:20230208T065857Z
UID:VCU_ALPS/10
DESCRIPTION:Title: When is a set of reals "weird"?\nby Corey Switzer (University of Vie
nna) as part of VCU ALPS (Analysis\, Logic\, and Physics Seminar)\n\n\nAbs
tract\nThe axiom of choice guarantees the existence of "weird" or\n"pathol
ogical" sets of real numbers and their relatives. Examples\ninclude well o
rderings of the reals\, Lebesgue non-measurable sets and\nnon-principle ul
trafilters (which can be coded as a set of reals). The\nguiding framework
here is that such sets cannot be "defined" in the\nsense that they have no
explicit definition\, which is why they do not\ncome up so often in analy
sis and related fields. In this talk I will try\nto explain what this mean
s more precisely as well as show that\, in some\nmodels of set theory\, "w
eird" sets actually have rather nice\ndefinitions. Time permitting\, I wil
l sketch some recent joint work with\nJeffrey Bergfalk and Vera Fischer sh
owing that consistently many\npathological sets of reals can have very sim
ple definitions all at the\nsame time.\n
LOCATION:https://researchseminars.org/talk/VCU_ALPS/10/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Marc Pegon (University of Lille)
DTSTART;VALUE=DATE-TIME:20211105T130000Z
DTEND;VALUE=DATE-TIME:20211105T140000Z
DTSTAMP;VALUE=DATE-TIME:20230208T065857Z
UID:VCU_ALPS/11
DESCRIPTION:Title: Large mass minimizers for Gamow's liquid drop model with sufficiently de
caying kernels\nby Marc Pegon (University of Lille) as part of VCU ALP
S (Analysis\, Logic\, and Physics Seminar)\n\n\nAbstract\nIn this talk\, I
will present Gamow's liquid drop model for the atomic nucleus\, some of i
ts generalizations and results from the literature on the topic. Then I wi
ll consider the case where the repulsive potential is given by a general k
ernel which "decays fast enough" at infinity\, in the sense that it is int
egrable and its first moment is finite. This problem rewrites as an isoper
imetric problem where the classical perimeter is replaced by $P-\\gamma P_
\\varepsilon$\, where $\\gamma$ is a positive constant and $P_\\varepsilon
$ is a nonlocal functional converging to the perimeter as $\\varepsilon$ v
anishes. I will discuss the existence and characterization of minimizers f
or small $\\varepsilon$\, which corresponds to the large mass regime for t
he original problem.\n
LOCATION:https://researchseminars.org/talk/VCU_ALPS/11/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Davide Carazzato (Scuola Normale Superiore)
DTSTART;VALUE=DATE-TIME:20211112T140000Z
DTEND;VALUE=DATE-TIME:20211112T150000Z
DTSTAMP;VALUE=DATE-TIME:20230208T065857Z
UID:VCU_ALPS/12
DESCRIPTION:Title: On the minimizers of some non-local energies\nby Davide Carazzato (S
cuola Normale Superiore) as part of VCU ALPS (Analysis\, Logic\, and Physi
cs Seminar)\n\n\nAbstract\nIn this seminar\, I will talk about the constra
ined minimization of some non-local energies that are the sum of a repulsi
ve and an attractive term. The former is a non-homogeneous Riesz-type func
tional\, while the latter is the (fractional) perimeter or a positive-powe
r-type interaction functional. After a brief presentation of some basic re
sults\, I will explain the most important ideas that can be used to charac
terize the minimizers in some constraint ranges. Time permitting\, I will
also talk about an ongoing project concerning the minimization of some of
the previous energies in the space of probability measures.\n
LOCATION:https://researchseminars.org/talk/VCU_ALPS/12/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Sean Cox (VCU)
DTSTART;VALUE=DATE-TIME:20210910T190000Z
DTEND;VALUE=DATE-TIME:20210910T200000Z
DTSTAMP;VALUE=DATE-TIME:20230208T065857Z
UID:VCU_ALPS/13
DESCRIPTION:Title: Undecidability of Salce's Problem for abelian groups\nby Sean Cox (V
CU) as part of VCU ALPS (Analysis\, Logic\, and Physics Seminar)\n\n\nAbst
ract\nA cotorsion pair is a pair of classes $(\\mathcal{A}\,\\mathcal{B})$
of abelian groups that is maximally orthogonal with respect to the EXT fu
nctor. This concept was introduced in an influential paper of Salce in th
e 1970s\, where he asked whether every cotorsion pair is complete (the cot
orsion pair $(\\mathcal{A}\,\\mathcal{B})$ is complete if every abelian gr
oup is of the form $A/B$ for some $B \\in \\mathcal{B}$ and $A \\in \\math
cal{A}$\; for example\, the cotorsion pair (Free abelian groups\, all abel
ian groups) is complete). I will discuss my recent proof that Salce's Pro
blem is undecidable\, i.e.\, cannot be answered in the usual axioms of mat
hematics.\n
LOCATION:https://researchseminars.org/talk/VCU_ALPS/13/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Marco Bonacini (University of Trento)
DTSTART;VALUE=DATE-TIME:20211029T130000Z
DTEND;VALUE=DATE-TIME:20211029T140000Z
DTSTAMP;VALUE=DATE-TIME:20230208T065857Z
UID:VCU_ALPS/14
DESCRIPTION:Title: Nonlocal variational problems on polygons\nby Marco Bonacini (Univer
sity of Trento) as part of VCU ALPS (Analysis\, Logic\, and Physics Semina
r)\n\n\nAbstract\nIn this talk I will discuss some recent results regardin
g the optimality of polygonal shapes for some nonlocal variational problem
s. In the first part of the talk I will discuss the minimization of an ene
rgy functional given by the sum of a crystalline perimeter and a nonlocal
interaction of Riesz type: I will exhibit a class of polygonal Wulff shape
s which uniquely minimize these energies in the small volume regime. In th
e second part of the talk I will discuss the optimality of regular polygon
s for nonlocal energies of generalized Riesz-type in the class of polygons
with a fixed number of sides and fixed area\, as well as their characteri
zation as unique stationary point. These results are joint work with R. Cr
istoferi and I. Topaloglu.\n
LOCATION:https://researchseminars.org/talk/VCU_ALPS/14/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Dennis Borisov (University of Windsor)
DTSTART;VALUE=DATE-TIME:20211119T200000Z
DTEND;VALUE=DATE-TIME:20211119T210000Z
DTSTAMP;VALUE=DATE-TIME:20230208T065857Z
UID:VCU_ALPS/15
DESCRIPTION:Title: Shifted potentials for moduli stacks of stable coherent sheaves on Calab
i-Yau 4-folds\nby Dennis Borisov (University of Windsor) as part of VC
U ALPS (Analysis\, Logic\, and Physics Seminar)\n\n\nAbstract\nI will pres
ent the following result: viewed as stacks on smooth real manifolds\, the
moduli spaces of stable coherent sheaves on Calabi-Yau 4-folds are critica
l loci of globally defined -1-shifted potentials.\n
LOCATION:https://researchseminars.org/talk/VCU_ALPS/15/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ihsan Topaloglu (VCU)
DTSTART;VALUE=DATE-TIME:20210917T130000Z
DTEND;VALUE=DATE-TIME:20210917T140000Z
DTSTAMP;VALUE=DATE-TIME:20230208T065857Z
UID:VCU_ALPS/16
DESCRIPTION:Title: A nonlocal isoperimetric problem with density perimeter\nby Ihsan To
paloglu (VCU) as part of VCU ALPS (Analysis\, Logic\, and Physics Seminar)
\n\n\nAbstract\nIn this talk I will present recent results on a variant of
Gamow's liquid drop model where we consider the mass-constrained minimiza
tion of an energy functional given as the sum of a density perimeter term
and a nonlocal interaction term of Riesz type. In particular\, I will show
that for a wide class of density functions this energy admits a minimizer
for any choice of parameters\, and that for monomial densities the unique
minimizer is given by the ball of fixed volume when the nonlocal effects
are sufficiently small. This is a joint work with S. Alama\, L. Bronsard\,
and A. Zuniga.\n
LOCATION:https://researchseminars.org/talk/VCU_ALPS/16/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Riccardo Cristoferi (Radboud University)
DTSTART;VALUE=DATE-TIME:20220128T140000Z
DTEND;VALUE=DATE-TIME:20220128T150000Z
DTSTAMP;VALUE=DATE-TIME:20230208T065857Z
UID:VCU_ALPS/18
DESCRIPTION:Title: Thin films of diblock copolymers\nby Riccardo Cristoferi (Radboud Un
iversity) as part of VCU ALPS (Analysis\, Logic\, and Physics Seminar)\n\n
\nAbstract\nBlock copolymers are an important class of soft materials that
have been used in many industrial applications ranging from upholstery fo
am to box tape\, from asphalt additives to drug delivery\, from photonic c
rystals to nanoporous materials. The peculiar properties of block copolyme
rs is their self-assembly property\, that leads to the creation of fascina
ting patterns exhibiting interesting periodicity properties. The pattern d
etermines the physical properties of the compound\, and it is therefore of
great interest to being able to understand the mechanism behind this patt
ern formation. It has been seen in experiments that when block copolymers
are constrained in thin films\, interfacial forces are dominant with respe
ct to bulk forces\, and therefore the landscape of patterns can be very di
fferent from that of block copolymers in bulk.\n\nIn this talk we consider
a model\, inspired by one derived by Choksi and Ren\, to understand patte
rn formation of diblock copolymers in thin films. We will discuss the rela
xed energy and partial regularity of mass constrained minimizers in two sp
atial dimensions.\n\nThis talk is based on a joint work with Marco Bonacin
i (Università di Trento).\n
LOCATION:https://researchseminars.org/talk/VCU_ALPS/18/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Theresa Simon (University of Münster)
DTSTART;VALUE=DATE-TIME:20220204T140000Z
DTEND;VALUE=DATE-TIME:20220204T150000Z
DTSTAMP;VALUE=DATE-TIME:20230208T065857Z
UID:VCU_ALPS/19
DESCRIPTION:Title: Local minimizers of the interface length functional: An approach via loc
al paired calibrations\nby Theresa Simon (University of Münster) as p
art of VCU ALPS (Analysis\, Logic\, and Physics Seminar)\n\n\nAbstract\nWe
prove that partitions of open sets in the plane\, whose network of interf
aces consists of finitely many straight segments only meeting in triple po
ints with angles of 120 degrees\, locally minimize the interface area func
tional with respect to L^1 perturbations of the partition. To this end\, w
e will introduce a localized version of so-called paired calibrations\, wh
ich were proposed by Lawlor and Morgan\, as well as Brakke\, as a means of
proving global minimality of partitions via constructing suitable vector
fields. Our approach can also be viewed as a static version of gradient fl
ow calibrations\, by which we can prove weak-strong uniqueness results for
mean curvature flow. This is joint work with Julian Fischer\, Sebastian H
ensel and Tim Laux.\n
LOCATION:https://researchseminars.org/talk/VCU_ALPS/19/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Emanuel Indrei (Purdue University)
DTSTART;VALUE=DATE-TIME:20220225T200000Z
DTEND;VALUE=DATE-TIME:20220225T210000Z
DTSTAMP;VALUE=DATE-TIME:20230208T065857Z
UID:VCU_ALPS/20
DESCRIPTION:Title: The equilibrium shape of a crystal\nby Emanuel Indrei (Purdue Univer
sity) as part of VCU ALPS (Analysis\, Logic\, and Physics Seminar)\n\n\nAb
stract\nI'll discuss my recent solution to a long-standing open problem po
sed by Almgren: https://arx
iv.org/pdf/2008.02238.pdf.\n
LOCATION:https://researchseminars.org/talk/VCU_ALPS/20/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ihsan Topaloglu (Virginia Commonwealth University)
DTSTART;VALUE=DATE-TIME:20220325T190000Z
DTEND;VALUE=DATE-TIME:20220325T200000Z
DTSTAMP;VALUE=DATE-TIME:20230208T065857Z
UID:VCU_ALPS/21
DESCRIPTION:Title: How many ways can one characterize a ball?\nby Ihsan Topaloglu (Virg
inia Commonwealth University) as part of VCU ALPS (Analysis\, Logic\, and
Physics Seminar)\n\n\nAbstract\nThere are many ways one can characterize t
he Euclidean ball – using geometry\, differential equations\, functional
analysis and so on. In this talk\, I will introduce at least three charac
terizations of the Euclidean ball. I will review the classical overdetermi
ned problem studied by Serrin and its connection with the Alexandrov soap
bubble theorem. In particular\, I will introduce Alexandrov's famous movin
g plane method and how it's used to characterize balls as critical points
of Riesz-type energies.\n
LOCATION:https://researchseminars.org/talk/VCU_ALPS/21/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Alex Misiats (Virginia Commonwealth University)
DTSTART;VALUE=DATE-TIME:20220218T200000Z
DTEND;VALUE=DATE-TIME:20220218T210000Z
DTSTAMP;VALUE=DATE-TIME:20230208T065857Z
UID:VCU_ALPS/23
DESCRIPTION:Title: Principles of fair division and their relation with Banach-Steinhaus The
orem\nby Alex Misiats (Virginia Commonwealth University) as part of VC
U ALPS (Analysis\, Logic\, and Physics Seminar)\n\n\nAbstract\nWhen the de
mands or desires of one party are in conflict with those of another - be i
t cutting a cake\, a divorce\, or an international dispute - no one wants
to be treated unfairly. Can mathematics help find procedures that can en
sure fair resolutions? When only two parties are present\, the famous divi
de-and-choose method was known since ancient times. Surprisingly enough\,
this method was generalized by the founders of functional analysis in Lviv
school of Mathematics\, Stefan Banach and Hugo Steinhaus\, only fairly re
cently. In my talk I will describe several ways to approach fair division\
, and illustrate some of their applications.\n
LOCATION:https://researchseminars.org/talk/VCU_ALPS/23/
END:VEVENT
BEGIN:VEVENT
SUMMARY:David Sherman (University of Virginia)
DTSTART;VALUE=DATE-TIME:20220429T190000Z
DTEND;VALUE=DATE-TIME:20220429T200000Z
DTSTAMP;VALUE=DATE-TIME:20230208T065857Z
UID:VCU_ALPS/24
DESCRIPTION:Title: A quantization of coarse structures and uniform Roe algebras\nby Dav
id Sherman (University of Virginia) as part of VCU ALPS (Analysis\, Logic\
, and Physics Seminar)\n\n\nAbstract\nA coarse structure is a way of talki
ng about "large-scale" properties. It is encoded in a family of relations
that often\, but not always\, come from a metric. A coarse structure nat
urally gives rise to Hilbert space operators that in turn generate a so-ca
lled uniform Roe algebra.\n\nIn ongoing work with Bruno Braga and Joe Eisn
er\, we use ideas of Weaver to construct "quantum" coarse structures and u
niform Roe algebras in which the underlying set is replaced with an arbitr
ary represented von Neumann algebra. The general theory immediately appli
es to quantum metrics (suitably defined)\, but it is much richer. We expl
ain another source of examples based on measure instead of metric\, leadin
g to a large and easy-to-understand class of new C*-algebras.\n\nI will pr
esent the big picture: where uniform Roe algebras come from\, how Weaver's
framework facilitates our definitions. I will focus on a few illustrativ
e examples and will not assume any familiarity with coarse structures or v
on Neumann algebras.\n
LOCATION:https://researchseminars.org/talk/VCU_ALPS/24/
END:VEVENT
BEGIN:VEVENT
SUMMARY:James Hanson (University of Maryland)
DTSTART;VALUE=DATE-TIME:20220415T190000Z
DTEND;VALUE=DATE-TIME:20220415T200000Z
DTSTAMP;VALUE=DATE-TIME:20230208T065857Z
UID:VCU_ALPS/25
DESCRIPTION:Title: An introduction to continuous logic\nby James Hanson (University of
Maryland) as part of VCU ALPS (Analysis\, Logic\, and Physics Seminar)\n\n
\nAbstract\nContinuous first-order logic is a generalization of (discrete)
first-order logic used to apply the methods of model theory to structures
with an underlying real-valued metric. We will give an overview of the ba
sics of continuous logic\, emphasizing similarities and differences with d
iscrete logic as well as specific motivations coming from analysis. We wil
l then discuss some current research directions.\n
LOCATION:https://researchseminars.org/talk/VCU_ALPS/25/
END:VEVENT
BEGIN:VEVENT
SUMMARY:James Holland (Rutgers University)
DTSTART;VALUE=DATE-TIME:20220401T190000Z
DTEND;VALUE=DATE-TIME:20220401T200000Z
DTSTAMP;VALUE=DATE-TIME:20230208T065857Z
UID:VCU_ALPS/26
DESCRIPTION:Title: Indestructibility in Set Theory\nby James Holland (Rutgers Universit
y) as part of VCU ALPS (Analysis\, Logic\, and Physics Seminar)\n\n\nAbstr
act\nSet theory often focuses on consistency strength results\, classifyin
g strength into a large cardinal hierarchy. But two of the major methods
for getting these results rarely play together. The topic of indestructibi
lity for certain large cardinals is one place that the two do interact. I
will give an overview of what these methods are\, and how they are both u
sed in this context.\n
LOCATION:https://researchseminars.org/talk/VCU_ALPS/26/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Marco Aldi (Virginia Commonwealth University)
DTSTART;VALUE=DATE-TIME:20220422T190000Z
DTEND;VALUE=DATE-TIME:20220422T200000Z
DTSTAMP;VALUE=DATE-TIME:20230208T065857Z
UID:VCU_ALPS/27
DESCRIPTION:Title: An Ordered Approach to Calculus\nby Marco Aldi (Virginia Commonwealt
h University) as part of VCU ALPS (Analysis\, Logic\, and Physics Seminar)
\n\nLecture held in Harris Hall 4145.\n\nAbstract\nThis talk is an update
on my ongoing project on the foundations of analysis. I will explain how e
xtensions of maps between posets can be used as a unifying principle to co
nceptually understand basic notions such as limits\, continuity\, integral
s\, derivatives\, and Dedekind cuts. If time permits\, I will show how thi
s approach leads to new proofs of familiar theorems.\n
LOCATION:https://researchseminars.org/talk/VCU_ALPS/27/
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