We meet weekly on Wednesday at 3:00 PM (Central time), GI 310
Organizers: Alessandra Constantini and Kalina Mincheva.
Spring 2025
January 15
Souvik Dey. Rings with extremal cohomology annihilator.
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The cohomology annihilator of Noetherian algebras was defined by Iyengar and Takahashi in their work on strong
generation in the module category. For a commutative Noetherian local ring, it can be observed that the cohomology
annihilator ideal is the entire ring if and only if the ring is regular. Motivated by this, I will consider the
question: When is the cohomology annihilator ideal of a local ring equal to the maximal ideal? I will discuss various
ring-theoretic and category-theoretic conditions towards understanding this question and describe applications for
understanding when the test ideal of the module closure operation on cyclic surface quotient singularities is the maximal ideal.
January 29
TBA. TBA.
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TBA.
February 5
TBA. TBA.
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TBA.
February 10 (note the special date)
Paolo Mantero, University of Arkansas. TBA.
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TBA.
February 19
Ngo Viet Trung, Institute of Math, Vietnam Academy of Science and Technology. TBA.
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TBA
February 26
Alessandra. TBA.
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TBA.
March 12
Sankhaneel Bisui, Arizona State University. TBA.
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TBA.
March 19
Dipendranath Mahato, Tulane University. TBA.
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TBA.
March 26
TBA. TBA.
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TBA.
April 2
Yairon Cid-Ruiz, North Carolina State University. TBA.
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TBA.
April 9
Andrés Jaramillo Puentes, University of Tübingen. TBA.
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