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Sketch the proof of the geometric result in the simplified setting explained in the introduction.", "occurrence_notes":null, "guid":"144455-21895381@events.umich.edu", "permalink":"http:\/\/events.umich.edu\/event\/144455", "building_id":"1000166", "building_name":"East Hall", "campus_maps_id":"53", "room":"4096", "location_name":"East Hall", "has_livestream":0, "cost":"", "tags":["Mathematics"], "website":"", "sponsors":[ { "group_name":"Algebraic Geometry Learning Seminar- Department of Mathematics", "group_id":"5295", "website":"" }, { "group_name":"Department of Mathematics", "group_id":"3791", "website":"" } ], "image_url":"", "styled_images":{ "event_thumb":"", "event_large":"", "event_large_2x":"", "event_large_lightbox":"", "group_thumb":"", "group_thumb_square":"", "group_large":"", "group_large_lightbox":"", "event_large_crop":"", "event_list":"", "event_list_2x":"", "event_grid":"", "event_grid_2x":"", "event_feature_large":"", "event_feature_thumb":"" }, "occurrence_count":1, "first_occurrence":21895381 } , "137386-21880192": { "datetime_modified":"20260120T123657", "datetime_start":"20260219T160000", "datetime_end":"20260219T170000", "has_end_time":1, "date_start":"2026-02-19", "date_end":"2026-02-19", "time_start":"16:00:00", "time_end":"17:00:00", "time_zone":"America\/Detroit", "event_title":"EEB Thursday Seminar Series - Phytochemical diversity regulates resiliency to herbivory and environmental stressors", "occurrence_title":"", "combined_title":"EEB Thursday Seminar Series - Phytochemical diversity regulates resiliency to herbivory and environmental stressors: Andrea Glassmire, Michigan State University", "event_subtitle":"Andrea Glassmire, Michigan State University", "event_type":"Workshop \/ Seminar", "event_type_id":"21", "description":"Seminar Summary - Plants exist in a complex chemical world, producing diverse blends of metabolites that shape interactions with herbivores, microbes, and the broader ecological community. My research program integrates chemical ecology, metabolomics, and community ecology to understand how phytochemical diversity\u2014both within and among plant species\u2014governs ecological stability across natural and managed ecosystems. Using Phragmites australis in threatened U.S. wetlands and solanaceous crops such as tomato and potato in agricultural systems, my work examines how phytochemical diversity and variation mediate competition, defense, and mutualisms across multiple trophic levels.\nAcross wetlands, I investigate how native and invasive lineages of P. australis differ in chemical trait expression, how environmental stress gradients shape metabolic plasticity, and how these differences influence competitive outcomes and invasion dynamics. In agricultural systems, I test how terpene complexity alters herbivore and natural enemy behavior, revealing general principles of how insects interpret multicomponent odor cues. 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