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DTSTART:20260329T030000
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DTSTAMP:20260425T051519Z
UID:1763971200@ist.ac.at
DTSTART:20251124T090000
DTEND:20251124T100000
DESCRIPTION:Speaker: Christopher Fillmore\nhosted by Matthew Robinson\nAbst
 ract: This thesis examines how geometry and topology intersect in the repr
 esentation\, transformation\, and analysis of complex shapes.It considers 
 how continuous manifolds relate to their discrete analogues\, how topologi
 cal structures evolve in persistence vineyards\, and how tools from topolo
 gical data analysis can illuminate problems in mathematical physics.Centra
 l to this exploration is the question of how structure\, both geometric an
 d topological\, persists or changes under approximation\, sampling\, or de
 formation.The work develops new approaches to skeletal and grid-based repr
 esentations of surfaces\, reveals the full expressive capacity of persiste
 nce vineyards\, and applies topological methods to the longstanding proble
 m of equilibria in electrostatic fields.These threads braid together into 
 a broader understanding of how topology and geometry inform one another ac
 ross theory\, computation\, and application.
LOCATION:Central Bldg / O1 / Mondi 2b (I01.O1.008)\, ISTA
ORGANIZER:
SUMMARY:Christopher Fillmore: Thesis Defense: Braiding Geometry and Topolog
 y to Study Shapes and Data
URL:https://talks-calendar.ista.ac.at/events/6143
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