Here you can do it by using HttpRequest or HttpSession. And think your problem is within the JSP.
If you are going to use the inside servlet do following,
Object obj = new Object();
session.setAttribute("object", obj);
or
HttpSession session = request.getSession();
Object obj = new Object();
session.setAttribute("object", obj);
and after setting your attribute by using request or session, use following to access it in the JSP,
<%= request.getAttribute("object")%>
or
<%= session.getAttribute("object")%>
So seems your problem is in the JSP.
If you want use scriptlets it should be as follows,
<%
Object obj = request.getSession().getAttribute("object");
out.print(obj);
%>
Or can use expressions as follows,
<%= session.getAttribute("object")%>
or can use EL as follows,
${object} or ${sessionScope.object}