<html><body><div style="font-family: arial, helvetica, sans-serif; font-size: 12pt; color: #000000"><div>Hi, </div><div><br data-mce-bogus="1"></div><div>We will have a guest talk by Ishan Levy (MIT) on <strong>Friday, 3/17 </strong>at <strong>11AM </strong>in <span data-mce-bogus="1" data-mce-type="format-caret"><span data-mce-bogus="1" data-mce-type="format-caret"><span style="color: #000000; font-family: Calibri, sans-serif; font-size: 14.6667px; font-style: normal; font-variant-ligatures: normal; font-variant-caps: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; widows: 2; word-spacing: 0px; -webkit-text-stroke-width: 0px; background-color: #fdfdfd; text-decoration-thickness: initial; text-decoration-style: initial; text-decoration-color: initial; display: inline !important; float: none;" data-mce-style="color: #000000; font-family: Calibri, sans-serif; font-size: 14.6667px; font-style: normal; font-variant-ligatures: normal; font-variant-caps: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; widows: 2; word-spacing: 0px; -webkit-text-stroke-width: 0px; background-color: #fdfdfd; text-decoration-thickness: initial; text-decoration-style: initial; text-decoration-color: initial; display: inline !important; float: none;"><strong>Rubenstein Room #1</strong>. </span></span></span><div style="clear: both;" data-mce-style="clear: both;"><br></div></div><div><div>Title: The algebraic K-theory of type 2 spectra</div><div><br></div><div>Abstract: The algebraic K-theory of the categories of finite type n spectra contain fundamental structural information about the stable homotopy category, such as a refinement of the thick subcategory theorem of Hopkins--Smith to a classification of stable subcategories. However, until recently almost nothing was known about it for n>1. In this talk I will explain how the algebraic K-theory of type 2 spectra can be computed in terms of K-theory of discrete rings and topological cyclic homology. In particular for p=2, K_0 is isomorphic to Z + infinitely many copies of Z/2. I will also explain how to explicitly construct type 2 spectra representing the K_0 classes.</div></div><div><span data-mce-bogus="1" data-mce-type="format-caret"><span data-mce-bogus="1" data-mce-type="format-caret"><span style="color: #000000; font-family: Calibri, sans-serif; font-size: 14.6667px; font-style: normal; font-variant-ligatures: normal; font-variant-caps: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; widows: 2; word-spacing: 0px; -webkit-text-stroke-width: 0px; background-color: #fdfdfd; text-decoration-thickness: initial; text-decoration-style: initial; text-decoration-color: initial; display: inline !important; float: none;" data-mce-style="color: #000000; font-family: Calibri, sans-serif; font-size: 14.6667px; font-style: normal; font-variant-ligatures: normal; font-variant-caps: normal; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; widows: 2; word-spacing: 0px; -webkit-text-stroke-width: 0px; background-color: #fdfdfd; text-decoration-thickness: initial; text-decoration-style: initial; text-decoration-color: initial; display: inline !important; float: none;"><br data-mce-bogus="1"></span></span></span></div><div>I hope to see you there!</div><div><br></div><div>Best,</div><div>Piotr </div></div></body></html>