{ "148194-21903218": { "datetime_modified":"20260508T144218", "datetime_start":"20260521T130000", "datetime_end":"20260521T150000", "has_end_time":1, "date_start":"2026-05-21", "date_end":"2026-05-21", "time_start":"13:00:00", "time_end":"15:00:00", "time_zone":"America\/Detroit", "event_title":"Geometrization in Algebraic and Arithmetic Geometry", "occurrence_title":"", "combined_title":"Geometrization in Algebraic and Arithmetic Geometry: Gleb Terentiuk", "event_subtitle":"Gleb Terentiuk", "event_type":"Presentation", "event_type_id":"16", "description":"Abstract:\n\nThis thesis uses the idea of geometrization in two contexts. The first part is devoted to the Cartier transform developed by Ogus and Vologodsky. We strengthen their main result by weakening the assumptions and by allowing certain reasonable stacks as inputs, obtaining, in particular, corollaries in the logarithmic setting. The second part studies the category of F-gauges over the formal spectrum of the Witt vectors of a perfect field of positive characteristic. We identify the full subcategory of F-gauges with Hodge-Tate weights in the range from 0 to p-2 with the category of Fontaine-Laffaille modules satisfying the analogous weight constraint.", "occurrence_notes":null, "guid":"148194-21903218@events.umich.edu", "permalink":"http:\/\/events.umich.edu\/event\/148194", "building_id":"1000166", "building_name":"East Hall", "campus_maps_id":"53", "room":"4096", "location_name":"East Hall", "has_livestream":0, "cost":"", "tags":["Dissertation","Graduate","Graduate Students","Mathematics"], "website":"", "sponsors":[ { "group_name":"Dissertation Defense - Department of Mathematics", "group_id":"4889", "website":"" } ], "image_url":"https:\/\/events.umich.edu\/media\/attachments\/2026\/05\/event_148194_original-1.jpg", "styled_images":{ "event_thumb":"https:\/\/events.umich.edu\/media\/cache\/resolve\/event_thumb\/media\/attachments\/2026\/05\/event_148194_original-1.jpg", "event_large":"https:\/\/events.umich.edu\/media\/cache\/event_large\/media\/attachments\/2026\/05\/event_148194_original-1.jpg", "event_large_2x":"https:\/\/events.umich.edu\/media\/cache\/event_large_2x\/media\/attachments\/2026\/05\/event_148194_original-1.jpg", "event_large_lightbox":"https:\/\/events.umich.edu\/media\/cache\/event_large_lightbox\/media\/attachments\/2026\/05\/event_148194_original-1.jpg", "group_thumb":"https:\/\/events.umich.edu\/media\/cache\/resolve\/group_thumb\/media\/attachments\/2026\/05\/event_148194_original-1.jpg", "group_thumb_square":"https:\/\/events.umich.edu\/media\/cache\/resolve\/group_thumb_square\/media\/attachments\/2026\/05\/event_148194_original-1.jpg", "group_large":"https:\/\/events.umich.edu\/media\/cache\/resolve\/group_large\/media\/attachments\/2026\/05\/event_148194_original-1.jpg", "group_large_lightbox":"https:\/\/events.umich.edu\/media\/cache\/resolve\/group_large_lightbox\/media\/attachments\/2026\/05\/event_148194_original-1.jpg", "event_large_crop":"https:\/\/events.umich.edu\/media\/cache\/resolve\/event_large_crop\/media\/attachments\/2026\/05\/event_148194_original-1.jpg", "event_list":"https:\/\/events.umich.edu\/media\/cache\/resolve\/event_list\/media\/attachments\/2026\/05\/event_148194_original-1.jpg", "event_list_2x":"https:\/\/events.umich.edu\/media\/cache\/event_list_2x\/media\/attachments\/2026\/05\/event_148194_original-1.jpg", "event_grid":"https:\/\/events.umich.edu\/media\/cache\/event_grid\/media\/attachments\/2026\/05\/event_148194_original-1.jpg", "event_grid_2x":"https:\/\/events.umich.edu\/media\/cache\/resolve\/event_grid_2x\/media\/attachments\/2026\/05\/event_148194_original-1.jpg", "event_feature_large":"https:\/\/events.umich.edu\/media\/cache\/resolve\/event_feature_large\/media\/attachments\/2026\/05\/event_148194_original-1.jpg", "event_feature_thumb":"https:\/\/events.umich.edu\/media\/cache\/resolve\/event_feature_thumb\/media\/attachments\/2026\/05\/event_148194_original-1.jpg" }, "occurrence_count":1, "first_occurrence":21903218 } , "148195-21903219": { "datetime_modified":"20260508T145250", "datetime_start":"20260521T140000", "datetime_end":"20260521T160000", "has_end_time":1, "date_start":"2026-05-21", "date_end":"2026-05-21", "time_start":"14:00:00", "time_end":"16:00:00", "time_zone":"America\/Detroit", "event_title":"Mixing at Double Exponential Rate and Rigidity in Analytic Dynamics", "occurrence_title":"", "combined_title":"Mixing at Double Exponential Rate and Rigidity in Analytic Dynamics: Katia Shchetka", "event_subtitle":"Katia Shchetka", "event_type":"Presentation", "event_type_id":"16", "description":"Abstract:\n\nThis work studies mixing in dynamical systems, focusing on how fast correlations between observables decay. While most previously studied systems have polynomial or exponential rates, we investigate systems with double exponential decay.\n\nWe show that all ergodic surjective linear endomorphisms of tori mix at a double exponential rate for analytic observables. In dimension one, we provide a complete classification for finite Blaschke products on the circle: the rate of mixing (no mixing, exponential, or double exponential) is determined by the value of the derivative of the Blaschke product at its fixed point. We extend the result to free semigroup actions generated by Blaschke products.\n\nWe also show that double exponential mixing is not rigid: it is not stable under perturbations and does not imply conjugacy to linear models. In higher dimensions, we construct families of examples of nonlinear maps with and without double exponential rate of mixing, and prove that certain partially hyperbolic systems never have this property.\n\nOur approach uses the Koopman precomposition operator acting on spaces of hyperfunctions (the dual space of analytic functions). In this setting, the operator is non-self-adjoint, compact, and quasi-nilpotent, with its spectrum reduced to zero, which can be considered an indicator of double exponential decay.\n\nFinally, we apply mixing rates to the cohomological equation. We prove the analyticity of solutions under suitable conditions and establish existence and uniqueness results in anisotropic spaces.", "occurrence_notes":null, "guid":"148195-21903219@events.umich.edu", "permalink":"http:\/\/events.umich.edu\/event\/148195", "building_id":"1000166", "building_name":"East Hall", "campus_maps_id":"53", "room":"3096", "location_name":"East Hall", "has_livestream":0, "cost":"", "tags":["Dissertation","Graduate","Graduate Students","Mathematics"], "website":"", "sponsors":[ { "group_name":"Dissertation Defense - Department of Mathematics", "group_id":"4889", "website":"" } ], "image_url":"https:\/\/events.umich.edu\/media\/attachments\/2026\/05\/event_148195_original-1.jpg", "styled_images":{ "event_thumb":"https:\/\/events.umich.edu\/media\/cache\/resolve\/event_thumb\/media\/attachments\/2026\/05\/event_148195_original-1.jpg", "event_large":"https:\/\/events.umich.edu\/media\/cache\/event_large\/media\/attachments\/2026\/05\/event_148195_original-1.jpg", "event_large_2x":"https:\/\/events.umich.edu\/media\/cache\/event_large_2x\/media\/attachments\/2026\/05\/event_148195_original-1.jpg", "event_large_lightbox":"https:\/\/events.umich.edu\/media\/cache\/event_large_lightbox\/media\/attachments\/2026\/05\/event_148195_original-1.jpg", "group_thumb":"https:\/\/events.umich.edu\/media\/cache\/resolve\/group_thumb\/media\/attachments\/2026\/05\/event_148195_original-1.jpg", "group_thumb_square":"https:\/\/events.umich.edu\/media\/cache\/resolve\/group_thumb_square\/media\/attachments\/2026\/05\/event_148195_original-1.jpg", "group_large":"https:\/\/events.umich.edu\/media\/cache\/resolve\/group_large\/media\/attachments\/2026\/05\/event_148195_original-1.jpg", "group_large_lightbox":"https:\/\/events.umich.edu\/media\/cache\/resolve\/group_large_lightbox\/media\/attachments\/2026\/05\/event_148195_original-1.jpg", "event_large_crop":"https:\/\/events.umich.edu\/media\/cache\/resolve\/event_large_crop\/media\/attachments\/2026\/05\/event_148195_original-1.jpg", "event_list":"https:\/\/events.umich.edu\/media\/cache\/resolve\/event_list\/media\/attachments\/2026\/05\/event_148195_original-1.jpg", "event_list_2x":"https:\/\/events.umich.edu\/media\/cache\/event_list_2x\/media\/attachments\/2026\/05\/event_148195_original-1.jpg", "event_grid":"https:\/\/events.umich.edu\/media\/cache\/event_grid\/media\/attachments\/2026\/05\/event_148195_original-1.jpg", "event_grid_2x":"https:\/\/events.umich.edu\/media\/cache\/resolve\/event_grid_2x\/media\/attachments\/2026\/05\/event_148195_original-1.jpg", "event_feature_large":"https:\/\/events.umich.edu\/media\/cache\/resolve\/event_feature_large\/media\/attachments\/2026\/05\/event_148195_original-1.jpg", "event_feature_thumb":"https:\/\/events.umich.edu\/media\/cache\/resolve\/event_feature_thumb\/media\/attachments\/2026\/05\/event_148195_original-1.jpg" }, "occurrence_count":1, "first_occurrence":21903219 } }