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SUMMARY:Rebecca R.G. (George Mason University)
DTSTART:20261023T193000Z
DTEND:20261023T203000Z
DTSTAMP:20261023T093346Z
UID:MAAGC2026/1
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MAAGC2026/1/
 ">Applications of algebra\, geometry\, and combinatorics to spatial naviga
 tion</a>\nby Rebecca R.G. (George Mason University) as part of MAAGC 2026\
 n\nLecture held in Temple 1169.\n\nAbstract\nThere are three types of cell
 s involved in spatial navigation: place cells\, grid cells\, and head dire
 ction cells. Place cells fire every time an animal is in a specific locati
 on\, grid cells fire in a repeating sequence as the animal travels along p
 articular trajectories\, and head direction cells indicate the way an anim
 al is facing. While many people study these using mathematical modeling an
 d more traditional applied mathematics techniques\, there is a growing com
 munity of people using algebraic\, geometric\, and combinatorial tools to 
 analyze place and grid cells. In this talk I'll discuss how I use combinat
 orial commutative algebra to study place cells (building on work of Curto\
 , Itskov\, et al) and geometry to study grid cells. The work on place cell
 s is joint with Hugh Geller\, Alexandra Seceleanu\, and Nora Youngs\, and 
 the work on grid cells is joint with Giorgio Ascoli\, Holger Dannenberg\, 
 Kelsi Listman\, Nate Sutton\, and Anthony Vu.\n
LOCATION:https://researchseminars.org/talk/MAAGC2026/1/
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SUMMARY:Brendon Rhoades (University of California\, San Diego)
DTSTART:20261023T213000Z
DTEND:20261023T223000Z
DTSTAMP:20261023T093346Z
UID:MAAGC2026/2
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MAAGC2026/2/
 ">Coinvariants\, hyperplanes\, and superspace</a>\nby Brendon Rhoades (Uni
 versity of California\, San Diego) as part of MAAGC 2026\n\nLecture held i
 n Temple 1169.\n\nAbstract\nLet V be a finite-dimension vector space. The 
 superspace ring associated to V is the tensor product \\Omega of the ring 
 S of polynomial functions on V with the exterior algebra E over V. If G is
  any subgroup of GL(V)\, there is a natural bigraded action of G on \\Omeg
 a\, and the superspace coinvariant ring SR_G is obtained by quotienting \\
 Omega by the ideal generated by G-invariants with vanishing constant term.
  We study the structure of SR_G when G is a complex reflection group and V
  is its reflection representation with a special focus on type A. The theo
 ry of hyperplane arrangements plays an important role. Joint with Robert A
 narone\, Sutanay Bhattacharya\, Patty Commins\, Trevor Karn\, Satoshi Mura
 i\, and Andy Wilson.\n
LOCATION:https://researchseminars.org/talk/MAAGC2026/2/
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SUMMARY:Leonardo Mihalcea (Virginia Tech)
DTSTART:20261024T140000Z
DTEND:20261024T150000Z
DTSTAMP:20261023T093346Z
UID:MAAGC2026/3
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MAAGC2026/3/
 ">Quantum Schubert Calculus from lattice models</a>\nby Leonardo Mihalcea 
 (Virginia Tech) as part of MAAGC 2026\n\nLecture held in Temple 1169.\n\nA
 bstract\nQuantum Schubert Calculus arises from questions in Enumerative Ge
 ometry\, such as how many rational curves of a specified degree intersect 
 general translates of Schubert varieties in a Grassmannian. The answer may
  be found by calculating the structure constants of the multiplication of 
 Schubert classes in an appropriate quantum intersection ring associated to
  a Grassmann manifold. I will explain how techniques from statistical mech
 anics\, namely the combinatorics of partition functions of certain lattice
  models\, yield explicit combinatorial formulae for the Schubert structure
  constants. Joint work with V. Gorbounov and C. Korff.\n
LOCATION:https://researchseminars.org/talk/MAAGC2026/3/
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BEGIN:VEVENT
SUMMARY:Josef Svoboda (Caltech)
DTSTART:20261024T160000Z
DTEND:20261024T170000Z
DTSTAMP:20261023T093346Z
UID:MAAGC2026/4
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MAAGC2026/4/
 ">Brieskorn homology 3-spheres\, GL(2\,Z) and the Stern—Brocot tree</a>\
 nby Josef Svoboda (Caltech) as part of MAAGC 2026\n\nLecture held in Templ
 e 1169.\n\nAbstract\nThe d-invariant of a homology sphere $\\Sigma(p\,q\,r
 )$ is a non-negative integer. It obstructs the existence of smooth contrac
 tible 4-manifolds with the boundary $\\Sigma(p\,q\,r)$.  By a result of El
 kies\, d vanishes exactly when the corresponding resolution (or plumbing) 
 lattice is diagonalizable. We completely characterize Brieskorn spheres $S
 igma(2\,q\,r)$ with d=0\, using the combinatorics of Stern—Brocot tree a
 nd free submonoids of GL(2\,Z). Joint work with Shimal Harichurn\, Isabell
 a Khan and András Némethi.\n
LOCATION:https://researchseminars.org/talk/MAAGC2026/4/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Sergi Elizalde (Dartmouth College)
DTSTART:20261025T140000Z
DTEND:20261025T150000Z
DTSTAMP:20261023T093346Z
UID:MAAGC2026/5
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MAAGC2026/5/
 ">Cylindric growth diagrams\, walks in simplices\, and exclusion processes
 </a>\nby Sergi Elizalde (Dartmouth College) as part of MAAGC 2026\n\nLectu
 re held in Temple 1169.\n\nAbstract\nWe establish bijections between three
  classes of combinatorial objects that have been studied in different cont
 exts: lattice walks in simplicial regions as introduced by Mortimer--Prell
 berg\, standard cylindric tableaux as introduced by Gessel--Krattenthaler 
 and Postnikov\, and sequences of states in the totally asymmetric simple e
 xclusion process on a cycle. This perspective allows us to translate symme
 tries from one setting into another\, revealing unexpected properties of t
 hese objects.\nSpecifically\, we show that a recent bijection of Courtiel 
 et al. between certain simplicial walks with forward and backward steps is
  equivalent to a cylindric analogue of the Robinson--Schensted corresponde
 nce. Originally defined by Neyman by iterating an insertion operation\, we
  provide an alternative description of this correspondence by introducing 
 a cylindric version of Fomin's growth diagrams. This natural description e
 lucidates the symmetry of the correspondence\, and it allows us to interpr
 et the above walks as oscillating cylindric tableaux.\n
LOCATION:https://researchseminars.org/talk/MAAGC2026/5/
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SUMMARY:Bridger Tenner (DePaul University)
DTSTART:20261025T153000Z
DTEND:20261025T163000Z
DTSTAMP:20261023T093346Z
UID:MAAGC2026/6
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MAAGC2026/6/
 ">Permutation Patterns: TNG</a>\nby Bridger Tenner (DePaul University) as 
 part of MAAGC 2026\n\nLecture held in Temple 1169.\n\nAbstract\nPermutatio
 ns are a classic tool for modeling a variety of scenarios. The study of pe
 rmutations in their own right\, as combinatorial objects\, has blossomed i
 n the last half century through a burgeoning interest in permutation patte
 rns. The patterns that a given permutation contains (or avoids) have shown
  remarkable relevance - and with applications to numerous other fields. We
  will discuss major themes of that research\, as well as exciting and rela
 tively new directions for the field. These directions\, sometimes compleme
 ntary to classical results\, have already shown great utility and are pois
 ed for even more\, suggesting a thrilling new generation of research to co
 me. Including collaborations with Yosef Berman\, Ian Cavey & Hugh Dennin\,
  Joel Lewis\, and Kyle Petersen.\n
LOCATION:https://researchseminars.org/talk/MAAGC2026/6/
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SUMMARY:Martha Yip (University of Kentucky)
DTSTART:20261025T170000Z
DTEND:20261025T180000Z
DTSTAMP:20261023T093346Z
UID:MAAGC2026/7
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MAAGC2026/7/
 ">Flag positroid pipe dreams</a>\nby Martha Yip (University of Kentucky) a
 s part of MAAGC 2026\n\nLecture held in Temple 1169.\n\nAbstract\nWe intro
 duce flag positroid pipe dreams (FPPs)\, whose role in the study of comple
 te flag positroids is analogous to the role of Le-diagrams in the study of
  positroids. FPPs are in bijection with intervals in the Bruhat order and 
 hence index Richardson cells in the decomposition of the nonnegative flag 
 variety. In this talk\, we will show how a flag positroid can be built ran
 k by rank via FPPs\, and conversely given an FPP\, how to recover the cons
 tituents of its associated complete flag positroid in terms of their Le-di
 agrams. As an application\, we address a problem posed by Chen et al. rega
 rding a characterization of elementary positroid quotients via the cyclic 
 shift operators of Benedetti et al.\n
LOCATION:https://researchseminars.org/talk/MAAGC2026/7/
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