Mathematical Conversations
From the Complex Numbers to Finite Fields
Fix a system of polynomial equations with integer coefficients. Surprisingly, its complex solution set (an analytic/topological object) is intimately linked to its solution sets over finite fields (discrete/algebraic objects). This talk will discuss some of these relationships (some classical and well-understood, others still mysterious).
Date & Time
April 29, 2026 | 6:00pm – 8:00pm
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04/29/2026 18:00
04/29/2026 20:00
Mathematical Conversations
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Topic: From the Complex Numbers to Finite Fields
Speakers: Bhargav Bhatt, Institute for Advanced Study
More: https://www.ias.edu/math/events/mathematical-conversations-319
Fix a system of polynomial equations with integer coefficients.
Surprisingly, its complex solution set (an analytic/topological
object) is intimately linked to its solution sets over finite fields
(discrete/algebraic objects). This talk will discuss some of these
relationships (some classical and well-understood, others still
mysterious).
Birch Garden, Simons Hall
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Location
Birch Garden, Simons HallSpeakers
Bhargav Bhatt, Institute for Advanced Study