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DTSTAMP:20260301T210529
DTSTART;TZID=America/Detroit:20260309T160000
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SUMMARY:Workshop / Seminar:GLNT: Eigenvarieties over CM fields and Galois representations
DESCRIPTION:Eigenvarieties are parameter spaces for certain p-adic automorphic forms of varying weight. These objects have become increasingly popular for studying the Fontaine—Mazur conjecture\, which leads us to ask what kinds of Galois representations appear on eigenvarieties. Our main result shows that for eigenvarieties for the group GL_n over a CM field\, the associated Galois representations are trianguline at all p-adic places\, resolving a conjecture of Hansen (following Kisin\, Colmez\, Bellaiche—Chenevier). The strategy of proof (which could be of independent interest) is to embed eigenvarieties for GL_n into an eigenvariety for a 2n-variable unitary group.
UID:143319-21892899@events.umich.edu
URL:https://events.umich.edu/event/143319
CLASS:PUBLIC
STATUS:CONFIRMED
CATEGORIES:Mathematics
LOCATION:East Hall - 4096
CONTACT:
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DTSTAMP:20260302T150514
DTSTART;TZID=America/Detroit:20260309T160000
DTEND;TZID=America/Detroit:20260309T171500
SUMMARY:Workshop / Seminar:Gomberg Lecture with Xiaoyang Zhu \"Exciton Sensing of Correlated Electrons\, Spins\, and Dipoles\"
DESCRIPTION:Correlation plays a central role in emergent phenomena\, such as quantum ground states and collective excitations. Here\, I will discuss what we can learn from time-domain sensing of correlation in two dimensional (2D) van der Waals (vdW) semiconductors\, where excitonic transitions are intimately related to bandgap modulation\, effectively dielectric constant\, and Pauli repulsion. In the 2D vdW magnetic semiconductor\, CrSBr\, excitonic transition is found to strongly couple to magnetic order and this allows the easy detection of low energy (GHz-THz) magnons by visible-NIR light. In the 2D vdW magnetic semiconductor\, NbOI2\, we report the experimental discovery of a quasi-particle\, the ferron\, which may form the basis for new modes of information processing and control. In twisted bilayer MoTe2\, we demonstrate exciton sensing as hitherto the most sensitive probe of electron correlation in moiré quantum matter\, including signatures for a coveted quantum phase - the fractional topological insulator.
UID:138388-21882887@events.umich.edu
URL:https://events.umich.edu/event/138388
CLASS:PUBLIC
STATUS:CONFIRMED
CATEGORIES:Chemistry
LOCATION:Chemistry Dow Lab - 1640
CONTACT:
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