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SUMMARY:Rebecca R.G. (George Mason University)
DTSTART:20261023T193000Z
DTEND:20261023T203000Z
DTSTAMP:20261023T115529Z
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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