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SpaceX
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NASA
СпутникиРНSpaceXРоскосмосNASAPlease note this event has an irregular time/locationSpeaker: Sebastian GantSpeaker Affiliation: SLMathSpeaker Link: Sebastian Gant's WebsiteOctober 30, 2026TBA
CanadaView All EventsAbstract: We study the question of when a generic stably free module admits a free summand of a given rank, which (as we will show) may be seen as an algebraic version of the vector fields on spheres problem solved by J.F. Adams in the 60s. Following work of M. Raynaud, the question can be reinterpreted in terms of the existence (or nonexistence) of a section of a natural projection map between Stiefel varieties given by "forgetting frames." Using techniques from motivic homotopy theory, we show that a section does not exist in many cases, thereby constructing examples of stably free modules that do not admit free summands of given ranks.
Stably free modules without free summandsEvent Topic:
Topology
Please note this event has an irregular time/location
Speaker:
Sebastian Gant
Speaker Affiliation:
SLMath
Speaker Link:
October 30, 2026
TBA
Canada
Abstract:
We study the question of when a generic stably free module admits a free summand of a given rank, which (as we will show) may be seen as an algebraic version of the vector fields on spheres problem solved by J.F. Adams in the 60s. Following work of M. Raynaud, the question can be reinterpreted in terms of the existence (or nonexistence) of a section of a natural projection map between Stiefel varieties given by "forgetting frames." Using techniques from motivic homotopy theory, we show that a section does not exist in many cases, thereby constructing examples of stably free modules that do not admit free summands of given ranks.
Event Topic:
October 30, 2026
3:00pm to 4:00pm
TBA
, , CA
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